Answer:
1)a) Length=16ft
b) Width=4ft
c) Height=12 ft
2)
[tex]V=Length\times Width \times Height[/tex]
3)
[tex]V= 96 {ft}^{3} [/tex]
4)
[tex]V= 768 {ft}^{3} [/tex]
The scale factor is 2
Step-by-step 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
[tex]V=Length\times Width \times Height[/tex]
3) The volume of the smaller rectangular prism is:
[tex]V=8 \times 2 \times 6 = 96 {ft}^{3} [/tex]
4) The volume of the enlarged prism is
[tex]V=16 \times 4 \times 12 = 768 {ft}^{3} [/tex]
The scale factor is 2, because the sides were doubled.
