Question

What is the volume of the regular pyramid below?

a.852 units3
b.10,224 units3
c.270 units3
d.3408 units3?

Answer 1

Option d.

Explanation:

Consider the below figure attached with this question.

From the given figure it is clear that the measure side of base is 12 units and height is 71 units.

The base of the pyramid is a square. So the area of base is

`B=side* side=12* 12=144`

The volume of a regular pyramid is

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

where, B is area of base and h is height of the pyramid.

Substitute B=144 and h=71 in the above formula.

`V=(1)/(3)(144)(71)`

`V=3408`

The volume of regular pyramid is 3408 cubic units.

Therefore, the correct option is d.

Answer 2

the picture in the attached figure

we know that
volume of the regular pyramid=(1/3)*area of the base*height
area of the base=12*12-----> 144 units²
height=71 units
substitute
volume of the regular pyramid=(1/3)*144*71-----> 3408 units³

the answer is
3408 units³