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Dmitry [639]
3 years ago
7

PLEASE HELP

Mathematics
1 answer:
NeTakaya3 years ago
3 0

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

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