What is the length of a side of a cube with a volume of 2197 ft3?

QUESTION POSTED AT 14/01/2020 - 03:05 PM

Answered by admin AT 14/01/2020 - 03:05 PM

Vloume = (Length)^3
so, Length = (2197)^(1/3)
Length = 13 ft
Post your answer

Related questions

A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and found it to be 35 cm. To the nearest tenth, what is the area of the wheel?. . 97.5 cm2. 195.1 cm2. 27.5 cm2. 390.1 cm2.

Circumference of the wheel in question = 35 cm
As the wheel is a circle, so
Circumference of the wheel = 2 * (pi) * (radius)
35 = 2 * (pi) * (radius)
Then
Radius = 35/2(pi)
Area of the wheel = (pi) * (radius) ^2
                             = (pi) * [35/2(pi)]^2
                             = (35)^2/4(pi)
                             = 1225/(4 * 3.14159)
                             = 1225/12.56636
                             = 97.48 cm^2
                             = 97.5 cm^2
The correct option among all the options that are given in the question is the first option.

ANSWERED AT 21/01/2020 - 10:32 AM


QUESTION POSTED AT 21/01/2020 - 10:32 AM

In order to apply the law of cosines to find the measure of an interior angle, it is enough to know...?. . A. The lengths of all three sides of the triangle.. B. The area of the triangle. C. At least two of the angles of the triangle and the length of one of its sides.

The correct answer is option A. Law of cosines is expressed as a^2=b^2+c^2−2bccosA. To be able to use this expression to find the interior angle, we need to know the lengths of all three sides of the triangle.

ANSWERED AT 21/01/2020 - 10:28 AM


QUESTION POSTED AT 21/01/2020 - 10:28 AM

The diagonal of a TV is 30 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the TV?. A. 15 inches by 15/3 inches. B. 15/2 inches by 15/2 inches . C. 60 inches by 60/3 inches . D. 60/2 inches by 60/2 inches

Let

x-------> the length of the rectangle

y------> the width of the rectangle

d----> the diagonal of the rectangle

we know that

The diagonal forms a pair of 30-60-90 right triangles

Step 1

Find the value of y

sin(30)=\frac{y}{d}

Solve for y

y=sin(30)*d

we have

sin(30)=\frac{1}{2}\\\\d=30\ in

substitute

y=\frac{1}{2} *30=15\ in

Step 2

Find the value of x

cos(30)=\frac{x}{d}

Solve for x

x=cos(30)*d

we have

cos(30)=\frac{\sqrt{3}}{2}\\\\d=30\ in

substitute

x=\frac{\sqrt{3}}{2}*30=15\sqrt{3}\ in

therefore

the answer is

15\ inches by 15\sqrt{3}\ inches


ANSWERED AT 21/01/2020 - 10:28 AM


QUESTION POSTED AT 21/01/2020 - 10:28 AM

A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the yard?

The area of a rectangle is obtained through the equation,
  
                                  A = L x W 

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
   
                               A = (L)(L-4)   ; 96 = L(L - 4)    ; L = 12 ft

The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
 
                                           P = 2 x (L + W)

Substituting the values of L and W
 
                                           P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft. 




ANSWERED AT 21/01/2020 - 10:28 AM


QUESTION POSTED AT 21/01/2020 - 10:28 AM

An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction as shown..

Here are the steps

1: Put the compass on Q and make the width equal to the distance from Q to L. Extend line LM towards the left side of L and draw an arc hitting the line segment on the left side of L

2.  Without changing the width and position of the compass, draw an arc between L and M.

3. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (left side of L). Draw an arc above line LM.

4. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (right side of L). Draw an arc above line LM.

5. Use a straight edge to make a line from the intersection of the two arcs above line LM to Q intersecting through L along the way.

ANSWERED AT 21/01/2020 - 10:27 AM


QUESTION POSTED AT 21/01/2020 - 10:27 AM

Quadrilateral LMNO has diagonals that intersect at point P. If LP=NP, MP = y + 25, and OP = 5y + 29, find the length of MO such that LMNO is a parallelogram.. . A.24. B.48. C.61. D.122

I saw the image of this problem.

For the quadrilateral to be parallelogram, MP = PO

MP = y + 25
PO = 5y + 29

y + 25 = 5y + 29
y - 5y = 29 - 25
-4y = 4
y = 4/-4
y = -1

MO = MP + OP
MO = y + 25 + 5y + 29
MO = -1 + 25 + 5(-1) + 29
MO = -1 + 25 - 5 + 29
MO = -6 + 54
MO = 48  Choice B.

ANSWERED AT 21/01/2020 - 10:27 AM


QUESTION POSTED AT 21/01/2020 - 10:27 AM

Which of the following are necessary when proving that opposite sides of a parallelogram are congruent?. A) corresponding parts of similar triangles are similar. B) alternate interior angles are congruent. C) alternate interior angles are supplementary. D) corresponding parts of congruent triangles are congruent

The answer is letter D. The congruent triangles are congruent.

A parallelogram is congruent if the corresponding angles are congruent and they form a common triangle. A parallelogram is also congruent if the sides are parallel to each other and can be divided into two common triangles.

ANSWERED AT 21/01/2020 - 10:26 AM


QUESTION POSTED AT 21/01/2020 - 10:26 AM

Which of these sentences is always true for a parallelogram? A. All sides are congruent.. . . B.All angles are congruent.. . . C.The diagonals are congruent.. . . D.Opposite angles are congruent. .

A parallelogram is a 4-sided polygon whose opposite sides are equal. By definition, opposite angles are also equal. A square, rectangle, or rhombus are considered as a parallelogram. Among the choices, the correct answer is D. "Opposite angles are congruent"

ANSWERED AT 21/01/2020 - 10:26 AM


QUESTION POSTED AT 21/01/2020 - 10:26 AM

A right cylinder and an oblique cylinder have the same radius and the same height. How do the volumes of the two cylinders compare?

An interesting thing is that oblique cylinders have the same volume as a right cylinder of the same radius and height. The height must be the perpendicular height, but as long as the radius and height are the same the volume does not change.

ANSWERED AT 21/01/2020 - 10:22 AM


QUESTION POSTED AT 21/01/2020 - 10:22 AM

Suppose that you find in a reference book that the volume of all the oceans is 1.4×109km3. To find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. What is this volume in cubic meters?. Express your answer in cubic meters.

The mass of the ocean is \boxed{1.4 \times {{10}^{21}}{\text{ kg}}} and the volume of the ocean is \boxed{1.4 \times {{10}^{18}}{m^3}}.

Further explanation:

The relation between mass, density and volume can be expressed as follows,

\boxed{\rho  = \frac{m}{v}}

Here, \rho is the density, m is the mass and v is the volume.

Given:

The volume of all the oceans is 1.4 \times {10^9}{\text{ k}}{{\text{m}}^{\text{3}}}.

Explanation:

The volume of the ocean in cubic meters can be expressed as follows,

\begin{aligned}{\text{Volume}} &= 1.4 \times {10^9}{\text{ k}}{{\text{m}}^{\text{3}}}\\&= 1.4 \times {10^9} \times {\left( {1000{\text{ m}}} \right)^3}\\&= 1.4 \times {10^9} \times {10^9}{\text{ }}{{\text{m}}^3}\\&= 1.4 \times {10^{18}}{\text{ }}{{\text{m}}^3}\\\end{aligned}

Density of the water is 1000{\text{ kg/}}{{\text{m}}^{\text{3}}}.

The mass of the water can be obtained as follows,

\begin{aligned}\rho&= \frac{m}{v}\\1000&= \frac{m}{{1.4 \times {{10}^{18}}}}\\1.4\times {10^{18}} \times 1000 &= m\\1.4\times {10^{21}} &= m\\\end{aligned}

The mass of the ocean is \boxed{1.4 \times {{10}^{21}}{\text{ kg}}} and the volume of the ocean is \boxed{1.4 \times {{10}^{18}}{m^3}}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: density, volume, oceans, water, density of water, the mass, mass, volume in cubic meters, cubic meters, kilogram, volume of oceans, convert.

ANSWERED AT 21/01/2020 - 10:15 AM


QUESTION POSTED AT 21/01/2020 - 10:15 AM

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?. A.. Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.. B.. Yes, because the figures are congruent.. C.. No, because the cross-sectional areas are not the same.. D.. No, because only the bases have the same area, not every cross section at every level parallel to the bases.. .

Given the values of the dimensions of the two prisms, the volumes are the same. Among the choices, the correct answer is A. "Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal." The volumes of both prisms can be solved by multiplying the cross-sectional area and the height. Solving both volumes would equate to a volume of 180 in^3.

ANSWERED AT 21/01/2020 - 10:13 AM


QUESTION POSTED AT 21/01/2020 - 10:13 AM

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?. . a. 15 in3. b. 20 in3. c. 25 in3. d. 30 in3

Volume of a cone: (1/3)*(PI)*(r^2)*h
5=(1/3)*(PI)*(r^2)*h
(r^2)*h=4.774648
Volume of the cylinder outside the cone: (PI)*(r^2)*h
V=(PI)*4.774648
V=15 in3

The answer is A. 15 in3

ANSWERED AT 21/01/2020 - 10:10 AM


QUESTION POSTED AT 21/01/2020 - 10:10 AM

If the altitude of an equilateral triangle is 10, what is the length of each side?

All the angles of an equilateral triangle measures 60 degrees. The altitude measuring 10 is a side of the right triangle opposite to the angle. The side of the equilateral triangle becomes the hypotenuse to the right triangle generated by drawing the altitude. To get the measure of the hypotenuse, multiply the altitude to the sine of 60 degrees. The operation gives an answer of 8.66. 

Thus, the length of each side of the equilateral triangle measures approximately 8.66 units. 

ANSWERED AT 21/01/2020 - 09:50 AM


QUESTION POSTED AT 21/01/2020 - 09:50 AM

Sonia rolls a six sided number cube 12 times and records of she rolls a 2. What is the number of trials for this binomial experiment?

Answer:

12

Step-by-step explanation:

Binomial expression: P(X=r) =^nC_r p^r q^{n-r}

Where n = No. of trials i.e. no. of times experiment occur

p= Probability of success

q= Probability of Failure

r= No. of success.

We are given that Sonia rolls a six sided number cube 12 times and records of she rolls a 2.

Since here the cube was rolled 12 times.

Thus n =12

So, No. of trials =12

Hence the number of trials for this binomial experiment is 12.

ANSWERED AT 21/01/2020 - 09:48 AM


QUESTION POSTED AT 21/01/2020 - 09:48 AM

In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2? a)AF:AE b)BC:EF c)EF:AH d)AH:EF e)AH:AD

Answer:

As given Point A is the center of the circle.

We will answer this question by considering all the options.

Option 1. FA : AE    [ Both FA and EA are radius of circle .So their ratio can't be equal to 1:2.]

Option 2. CB : FE  [ CB is a chord and FE is a Diameter  as length of Chord not given, So we can't Predict about their Ratio.]

Option 3: FE : AH  [As FE is the Diameter and AH is radius.Diameter = 2 × Radius,So FE : AH=2:1]

Option 4 : AH : FE  [Explained above AH: FE=1:2]

Option 5:  AH : AD  [AH is the radius of the circle and D is any point on AH So their ratio can't be 1:2.]

Option (d) AH : FE = Radius : Diameter=1:2 is true.


ANSWERED AT 21/01/2020 - 09:40 AM


QUESTION POSTED AT 21/01/2020 - 09:40 AM

Show and explain the theoretical probability of a player WINNING your probability game. for a spinner that has 8 sides (1-8) rules for the game so u know how to answer my question : Using a spinner and a coin. 2 players can play this game. So, the first person can spin the spinner and see where it lands on. The second person can start flipping the coin while the spinner is spinning, also see what sides it could land on ( HEADS or TAILS ). If the coin lands on heads, player 1 has a chance to gain or lose points in the round. If the coin lands on tails, player 2 has a chance. The player in focus then has 2 choices; they can flip the coin a second time or spin the spinner a second time. If they choose to flip a coin, they have to predict whether they think the coin will land on heads or tails. If they are correct, they gain the number of points showing on the spinner. If they are wrong, they lose that number of points. If they choose to re-spin the spinner, their goal is to beat the score of the first spin. If they do, they gain the difference in the points (for example: spin 1 lands on 2, spin 2 lands on 5; 5-2 = 3 points). If they spin a lower number, they lose the difference in points (example: spin 1 gets a 3, spin 2 gets a 1; 3-1 = 2 points lost) *If the spinner happens to land on the exact same number, the opponent gets 5 points. The first player to earn 40-points wins! BEST OF LUCK and have FUN !!! ^_~ !!!

You have a 1/2 chance of winning points on the flipping of the coin and a 36/64 chance of winning on the spinner. I got the coin because there's a half chance of guessing the side right and I got the spinner by drawing a two-way diagram.

ANSWERED AT 21/01/2020 - 09:39 AM


QUESTION POSTED AT 21/01/2020 - 09:39 AM

Which best describes the dimensions of a plane a.A plane has zero dimensions because it represents a location on the coordinate plane. b.A plane has one dimension because it is made up of an infinite number of points. c.A plane has two dimensions because it is a flat surface that has length and width but no depth. d.A plane has three dimensions because it is made up of exactly three noncollinear points.

Wellll, hold up there for just a second. 

"A plane" is infinite.  Whatever direction you pick in "a plane",
the plane keeps going in that direction forever and never ends.
So "a plane" has NO dimensions.

Any PART of "a plane" has TWO dimensions, because any PART
of it that you pick occupies some length and some width.

A better way to say it is like this:

If you stick a nail into the plane at one point, THEN, to describe ANY
OTHER point in the plane relative to the nail, you need TWO NUMBERS.

THAT's why a line has one dimension, a plane has two, and a solid has
three dimensions ... it's how many numbers you need if you want to
send somebody to another point from where you're sitting.

ANSWERED AT 21/01/2020 - 09:37 AM


QUESTION POSTED AT 21/01/2020 - 09:37 AM

Which are the possible side lengths of a triangle a. 3 cm, 5 cm, 9 cm b. 4 cm, 8 cm, 10 cm c. 6 cm, 9 cm, 17 cm d. 8 cm, 10 cm, 18 cm

Possible side lengths of a triangle are determined by the triangle inequality:
a+b>c
where a and b are the shorter sides, (i.e. c is the longest side).
Note that equality does not hold, because it will make a "triangle" with an angle equal to zero degrees.

An example, choice a, 3+5<9, so they are not possible side lengths.

EDITED 2018-02-26
As already indicated in comments, (4, 8, 10) is a feasible set of sides for triangles because the shorter sides are 4 and 8, and the sum (12) is greater than the third side (10).

ANSWERED AT 21/01/2020 - 09:32 AM


QUESTION POSTED AT 21/01/2020 - 09:32 AM

Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4

Perimeter of triangle is sum of all the 3 sides.
So,
perimeter
= 3x-4 + x^2-1 +2x^2 -15
combining like terms,
= 3x^2 + 3x -20

given that x = 4,

= 3(4^2) +3(4) -20
= 3(16) +12-20
= 48 -8
= 40

hence the perimeter is 40 feet.

ANSWERED AT 21/01/2020 - 09:19 AM


QUESTION POSTED AT 21/01/2020 - 09:19 AM

Kane used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below: Number on the Cube Number of Times Rolled 1 18 2 32 3 12 4 25 5 3 6 10 Heads Tails 55 45 Using Kane's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up? 1760 over 10000 1620 over 10000 87 over 100 67 over 100

Answer:

A is correct.

Step-by-step explanation:

55/100*32/100= 0.176

You put the number of heads and the times of the cube rolling on 2 and multiply them. you have to put the numbers over 100. hope this helps:)

ANSWERED AT 21/01/2020 - 09:10 AM


QUESTION POSTED AT 21/01/2020 - 09:10 AM

Using Kane's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up? 1760 over 10000 1620 over 10000 87 over 100 67 over 100

100 times rolled total
32 times number 2 was rolled
32/100 chance of rolling a 2 on the number cube
Heads was flipped 55 times, 100 total flips so 55/100
(32/100) x (55/100) = .176
176/1000 x 10 =
1760/10000 A

ANSWERED AT 21/01/2020 - 09:09 AM


QUESTION POSTED AT 21/01/2020 - 09:09 AM

Find the perimeter and area of a rectangle with a length of 2 meters and a width of 3 meters

Let L and W be the length and width of the rectangle, respectively. To solve for the perimeter (P) and area (A), use the following formula:
                                
                                       P = 2 x (L + W)

                                       A = L x W

Substituting the given value for the dimensions, 
 
                                       P = 2 x (2m + 3m) = 10 m
                               
                                        A = 2m x 3m = 6m^2

Therefore, the perimeter is 10m and the area is 6m^2. 




ANSWERED AT 21/01/2020 - 09:09 AM


QUESTION POSTED AT 21/01/2020 - 09:09 AM

Find the perimeter and area of a square that has a side length 5 inches

Area = 5 x 5 = 25in
perimeter = 4(5) = 20 inch

ANSWERED AT 21/01/2020 - 09:08 AM


QUESTION POSTED AT 21/01/2020 - 09:08 AM

X varies as cube of Y & Y varies as 5th root of Z and X varies as nth power of ‘Z’ then n =

Hello,
x=k_1*y³
y=k_2*z^(1/5)
x=k_3*z^n

x=k_1*k_2^3*z^(3/5)

==>n=3/5


ANSWERED AT 21/01/2020 - 09:03 AM


QUESTION POSTED AT 21/01/2020 - 09:03 AM

What is the volume of a solid that has seven cubes?

The volume of a solid that has seven cubes is 10m

ANSWERED AT 21/01/2020 - 09:01 AM


QUESTION POSTED AT 21/01/2020 - 09:01 AM