Question

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 square pyramid, what is its height? 2 units 4 units 6 units 8 units

Answer 1

Answer:2 units

Explanation:

Yes its correct! Got it right on my test!!!

Answer 2

The height is 2 units

Explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

`V=(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=(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`