Question

PLEASE HELP

Answer 1

Answer:

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct

Step-by-step explanation:

step 1

Find the area of the base of the rectangular pyramid

we know that

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base

H is the height of the pyramid

we have

$V=40\ units^{3}$

$H=6\ units$

substitute and solve for B

$40=\frac{1}{3}B(6)$

$120=B(6)$

$B=120/6=20\ units^{2}$

step 2

Find the volume of the rectangular prism with the same base area and height

we know that

The volume of the rectangular prism is equal to

$V=BH$

we have

$B=20\ units^{2}$

$H=6\ units$

substitute

$V=(20)(6)=120\ units^{3}$

therefore

The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct