Question

The right rectangular prism shown has a length of 8 ft a width of 2 ft and a height of 6 ft the dimensions of the prism are doubled​.

Answer 1

1)a) Length=16ft

b) Width=4ft

c) Height=12 ft

2)

`V=Length* Width * Height`

3)

`V= 96 {ft}^(3)`

4)

`V= 768 {ft}^(3)`

The scale factor is 2

Explanation:

1. The smaller right rectangular prism has a length of 8 ft a width of 2 ft and a height of 6 ft.

If the dimensions of the prism are doubled to obtain the larger rectangular prism, then

a) Length=2*8=16ft

b) Width=2*2=4ft

c) Height=2*6=12 ft

2) The formula for volume is

`V=Length* Width * Height`

3) The volume of the smaller rectangular prism is:

`V=8 * 2 * 6 = 96 {ft}^(3)`

4) The volume of the enlarged prism is

`V=16 * 4 * 12 = 768 {ft}^(3)`

The scale factor is 2, because the sides were doubled.