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Crazy boy [7]
3 years ago
14

A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s

quare pyramid, what is its height? 2 units 4 units 6 units 8 units
Mathematics
2 answers:
ozzi3 years ago
6 0

Answer:

2 units

Step-by-step explanation:

inysia [295]3 years ago
3 0

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base and H is the height of the pyramid

we have

H=6\ units

V=70\ units^{3}

substitute in the formula and solve for B

70=\frac{1}{3}B(6)

B=70/2=35\ units^{2}

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

V=Bh

where

B is the area of the base and h is the height of the prism

we have

B=35\ units^{2}

V=70\ units^{3}

substitute in the formula and solve for h

70=(35)h

h=2\ units

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