Question

Three oblique pyramids have the same regular square base. Which one has a volume of 15 cubic units if the area

the bases are all 15 square units?

Answer 1

B

Explanation:

Answer 2

The second pyramid, placed in the middle, has a volume of 15 square units.

Explanation:

Givens

• The area of the bases is 15 square units.
• All of them have the same base.

The volum of a pyramid is defined as

`V=(1)/(3)Bh`

Where
`B` is the are of the base and
`h` is the height.

So, all of them have
`B=15u^(2)`

The first pyramid has a height of 4, replacing this in the formula we have

`V=(1)/(3)15(4)=5(4)=20u^(3)`

The second pyramid has a height of 3

`V=(1)/(3)15(3)=5(3)=15u^(3)`

The third pyramid has a height of 12

`V=(1)/(3)15(12)=5(12)=60u^(3)`

Therefore, the second pyramid, placed in the middle, has a volume of 15 square units.