Question

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

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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

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

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

$V=\frac{1}{3}15(4)=5(4)=20u^{3}$

The second pyramid has a height of 3

$V=\frac{1}{3}15(3)=5(3)=15u^{3}$

The third pyramid has a height of 12

$V=\frac{1}{3}15(12)=5(12)=60u^{3}$

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