Question

HELPPPPP ... Question 18

Answer 1

Part a) The volume of the prism Q is two times the volume of the prism P

Part b) The volume of the prism Q is two times the volume of the prism P

Explanation:

Part 18) we know that

The volume of a rectangular prism is equal to

`V=Bh`

where

B is the area of the base

h is the height of the prism

a) Suppose the bases of the prisms have the same area, but the height of prism Q is twice the height of prism P. How do the volumes compare?

Volume of prism Q

`VQ=B(2h)=2(Bh)`

Volume of prism P

`VP=Bh`

Compare

`VQ=2VP`

so

The volume of the prism Q is two times the volume of the prism P

b) Suppose the area of the base of prism Q is twice the area of the base of prism P. How do the volumes compare?

Volume of prism Q

`VQ=(2B)h=2(Bh)`

Volume of prism P

`VP=Bh`

Compare

`VQ=2VP`

The volume of the prism Q is two times the volume of the prism P