For a rectangular prism, if the base length was shrunk by a factor of two-thirds, the width was quadrupled, and height was cut in half, how would the changes affect the surface area formula?

QUESTION POSTED AT 18/01/2020 - 07:16 AM

Answered by admin AT 18/01/2020 - 07:16 AM

The surface area of a rectangular prism is this:
SA = LW + LH + LH

Here are the changes:
L --> (2/3)L
W --> 4W
H --> H/2

So, the new surface area is:
SA' = (2/3)L (4W) + (2/3)L (H/2) + 4W (H/2)
SA' = (8/3) LW + (1/3) LH + 2 WH
Post your answer

Related questions

If i run 10 kilometers in 1 hour how many kilometers do i run in 2 and a half hours

10 kilometers per hour
in 2.5 hours distance = 10 * 2.5 = 25 kilometers

ANSWERED AT 20/02/2020 - 11:18 PM


QUESTION POSTED AT 20/02/2020 - 11:18 PM

Half day hike in 4 hours you hike 10 miles what is the unit rate?

2.5 miles/hour

Because 10 divided by 4 = 2.5

ANSWERED AT 20/02/2020 - 11:14 PM


QUESTION POSTED AT 20/02/2020 - 11:14 PM

What is the area of a rectangle ?

Area of a rectangle is the length x width.

If you had a rectangle with the side measurements of 2in. and 4in. your area would be 8in. squared

ANSWERED AT 20/02/2020 - 10:57 PM


QUESTION POSTED AT 20/02/2020 - 10:57 PM

He has 14 rows with 8 one foot squares in each row. What is the area of his peach orchard?

Multiply 8x14. Start out by 8x4=32+10x8=80=112. The answer is 112

ANSWERED AT 20/02/2020 - 10:57 PM


QUESTION POSTED AT 20/02/2020 - 10:57 PM

Two friends cut a large candy bar into equal pieces. Harriet ate 1/4 of the pieces. Nisha ate 1/2 of hte remaining pieces. Six pieces were left over. How many piees was the candy bar originally divided into?

Harriet at 1/4 of all pieces
4/4-1/4=3/4

nisha ate 1/2 of remaining (3/4)
1/2 of 3/4=3/8 eaten

ok, so eaten=1/4+3/8=2/8+3/8=5/8 eaten
8/8-5/8=3/8 left
3/8=6 pices
1/8=2 pieces
8/8=16 pices


origainally divided into 16 pieces


ANSWERED AT 20/02/2020 - 10:56 PM


QUESTION POSTED AT 20/02/2020 - 10:56 PM

A cylindrical barrel has a radius of 7.6 ft. and a height of 10.8 ft. Tripling which dimensions will triple the volume of the barrel?

Tripling the height will triple the volume.

Formua is r^2 *  \pi * height.

If you triple the radius, you must still square it, so it will be 9 times bigger.

If you triple the height, then it will be 3 times bigger.

ANSWERED AT 20/02/2020 - 10:54 PM


QUESTION POSTED AT 20/02/2020 - 10:54 PM

Find area of a rectangle with vertices -9,3 -9,-7 -6,-7 and -6,-3

4 times 3 equals 12.

ANSWERED AT 20/02/2020 - 10:53 PM


QUESTION POSTED AT 20/02/2020 - 10:53 PM

What's are some factors of 30

1, 2, 3, 5, 6, 10, 15

ANSWERED AT 20/02/2020 - 10:46 PM


QUESTION POSTED AT 20/02/2020 - 10:46 PM

Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side? 3 in. 6 in. 10 in. 18 in.

Answer:

The possible answer is 10 in.

Step-by-step explanation:

Two sides of a triangle measure 5 in. and 12 in.

If three side of triangle are a, b and c then sum of two side is always greater than third side.

Sum of two side greater than third side.  

a+b>c

a+c>b

b+c>a

Difference of two side is less than third side.

a-b<c

b-c<a

a-c<b

Here, we are given two sides of a triangle 5 in and 12 in.

Possible length of third side be

12-5 < c < 12+5

7<c<17

Third side must be lie between 7 to 17.

According to option, Third side must be equal to 10 in.

Hence, The possible answer is 10 in.

ANSWERED AT 20/02/2020 - 10:45 PM


QUESTION POSTED AT 20/02/2020 - 10:45 PM

A square photograph has a perimeter of 20 inches. What is the area of the photograph?

Answer:

Area of square is 25 inches²

Step-by-step explanation:

Given : A square photograph has a perimeter of 20 inches.

We have to find the area of the photograph.

We know perimeter of square is 4a , where a is side of square

Given : perimeter of square = 20 inches

4a = 20

Divide both side by 4, we get,

a = 5 inches

Also, Area of square = side × side

Area of square = 5 × 5

Area of square = 25 inches²

Thus, area of square is 25 inches²

ANSWERED AT 20/02/2020 - 10:38 PM


QUESTION POSTED AT 20/02/2020 - 10:38 PM

An equilateral triangle has a perimeter of 48 centimeters. If the triangle is dilated by a factor of .75 ,what is the length of each side of the new triangle?

Length of triangle 48/3=16
75/100*16=12
length of new triangle=16+12=28

ANSWERED AT 20/02/2020 - 10:33 PM


QUESTION POSTED AT 20/02/2020 - 10:33 PM

A square is inscribed within another square by connecting the midpoints of the larger square. The edge length of the outer square is x. Express the area of the inner square as a function of x.

Each edge of the inner square has a length of √[(x/2)²+(x/2)²]=√2x²/4=(x√2)/2
Then, the area is 2x²/4=x²/2 ☺☺☺☺

ANSWERED AT 20/02/2020 - 10:32 PM


QUESTION POSTED AT 20/02/2020 - 10:32 PM

The length of a car is 1/20of the length of the actual car. If the model is 9.3in. long, how long is the actual car?

9.3 x 20 = 186 inches. 12 inches = 1 foot

186 / 12 = 15.5

The actual car is 186 inches, or 15 1/2 feet long.

ANSWERED AT 20/02/2020 - 10:29 PM


QUESTION POSTED AT 20/02/2020 - 10:29 PM

You need to find the height of most third graders at your school. What type of data display would you use?

You could use the mode or median because the mode is the most frequent and the median is the middle number in the data from smallest to greatest

ANSWERED AT 20/02/2020 - 10:29 PM


QUESTION POSTED AT 20/02/2020 - 10:29 PM

The length of a model car is 1/20 of the length of the actual car. If the model is 8.7 in. long, how long is the actual car?

1/20 is equl to 5% so... 8.7 / 5% =?  or    8.7 / 0.05 = ?

the answer is............ 174 in.

ANSWERED AT 20/02/2020 - 10:26 PM


QUESTION POSTED AT 20/02/2020 - 10:26 PM

Which conversion factor can be used to find the number of feet in 925 inches?

925 inches = x feet, so the proportion is  \frac{925}{x} =  \frac{12}{1}

This is because 1 foot = 12 inches. Then cross-multiply:

925 = 12x

x = 77.08

ANSWERED AT 20/02/2020 - 10:26 PM


QUESTION POSTED AT 20/02/2020 - 10:26 PM

Common factor of 16a and 20ab

The common factor of 16 is  1, 2, 4, 5, 8, 10, 20 and 40.
the common factor of 20 is 
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. 

ANSWERED AT 20/02/2020 - 10:25 PM


QUESTION POSTED AT 20/02/2020 - 10:25 PM

Ted has the following triangle dimensions. side length of 8 side length of 14 side length of 23 How many triangles can he construct? A.He can construct only one triangle. B.He can construct two triangles. C.He can construct three triangles. D.He cannot construct a triangle.

Answer:

Step-by-step explanation:

He can not construct a triangle because when you add up two of the side lengths they are supposed to be greater the the remaining side length for example 8+14>23 would be incorrect because 8+14  equals 22 which means it would not be greater than 23 and therefore that is why he can not construct a triangle.

ANSWERED AT 20/02/2020 - 10:22 PM


QUESTION POSTED AT 20/02/2020 - 10:22 PM

Do I use slope or distance formula

x and y axis on the coordinate                                                          

ANSWERED AT 20/02/2020 - 10:18 PM


QUESTION POSTED AT 20/02/2020 - 10:18 PM

One foot is equal to 12 inches. The function I(f) takes a length in feet (as input) and returns a length in inches (as output). I(f) = 12f What is the output of this function if the input is 6?

You need to substitute the number 6 into the function. The output would be 72, because when l(6) = 12(6), you would get l(6) = 72. 

ANSWERED AT 20/02/2020 - 10:16 PM


QUESTION POSTED AT 20/02/2020 - 10:16 PM

Rewrite the expression as a multiple of a sum of two numbers with no common factor. 30 + 12

42 like 6x7=42 it is the same okay do you jet it now ?

ANSWERED AT 20/02/2020 - 10:16 PM


QUESTION POSTED AT 20/02/2020 - 10:16 PM

How do I rewrite the expression as a multiple of a sum of 2 numbers with no common factor? 30 + 12

2x(8+13)

Because 2x8=16 &
2x13=26

26+16=42 which is the same as the 30+12.

It basically looks like this: 2x8+2x13.
There's also the rule that you have to solve the multiplication before the addition one.

(2x8)+(2x13) also works

ANSWERED AT 20/02/2020 - 10:14 PM


QUESTION POSTED AT 20/02/2020 - 10:14 PM

Shakira makes a rectangular tablecloth that is 3.5 meters long and 1.5 meters long what is the area of the tablecloth?Operation:How do you know:write the equation:find the answer:

The area of the tablecloth is 5.25 meters squared

A=length X width
A=3.5 x 1.5
A=5.25

ANSWERED AT 20/02/2020 - 10:12 PM


QUESTION POSTED AT 20/02/2020 - 10:12 PM

The triangle and the trapezoid have the same area.Base b(two) is twice the length of base b( one).What are the lengths of the bases of the trapezoid? Triangle:- b=21 cm &h=6cm. Trapezoid:-h=6cm

Answer:

b2 = 14

b1 = 7

Step-by-step explanation:

Area_triangle = 1/2 * b * h

Area _trapezoid = (b1 + b2)*h1/2

Since the areas of the two figures are the same, we get

1/2 * b * h = (b1 + b2)*h1/2                 multiply both sides by 2.

b*h = (b1 + b2) * h1

b=21

h = 6

2*b1 = b2

21*6 = (b1 + 2*b1)*6                             Divide by 6

21 = 3*b1                                              Divide by 3

7 = b1

2*b1 = b2

b2 = 14

ANSWERED AT 20/02/2020 - 10:11 PM


QUESTION POSTED AT 20/02/2020 - 10:11 PM