# 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

QUESTION POSTED 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

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

10 kilometers per hour

in 2.5 hours distance = 10 * 2.5 = 25 kilometers

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

2.5 miles/hour

Because 10 divided by 4 = 2.5

Because 10 divided by 4 = 2.5

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

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

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

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

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

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

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

1. I belive this is in simplest form already.

2. 4s+9

3. 8s+4r

4. -2r+4

5. 6s

Hope that helps a little bit!

2. 4s+9

3. 8s+4r

4. -2r+4

5. 6s

Hope that helps a little bit!

ANSWERED AT 20/02/2020 - 10:55 PM

QUESTION POSTED AT 20/02/2020 - 10:55 PM

Tripling the height will triple the volume.

Formua is r^2 * * 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.

Formua is r^2 * * 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

4 times 3 equals 12.

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

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

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

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

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

**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

The answer I came up with: 3x-18y

ANSWERED AT 20/02/2020 - 10:44 PM

QUESTION POSTED AT 20/02/2020 - 10:44 PM

**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

1) rectangle

2)cylinder

3)retangular prism

4) hemisphere

2)cylinder

3)retangular prism

4) hemisphere

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

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

Length of triangle 48/3=16

75/100*16=12

length of new triangle=16+12=28

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

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 ☺☺☺☺

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

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.

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 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

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

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

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

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

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

925 inches = x feet, so the proportion is

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

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

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

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

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.

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

12...................

ANSWERED AT 20/02/2020 - 10:23 PM

QUESTION POSTED AT 20/02/2020 - 10:23 PM

**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

Tan55 = x/43

x = tan(55) * 43

x = 61.4 cm

x = tan(55) * 43

x = 61.4 cm

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

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

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

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

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

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

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

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

The area of the tablecloth is 5.25 meters squared

A=length X width

A=3.5 x 1.5

A=5.25

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

**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

3.5*10^5

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

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