Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vert

Question

2 years ago

8

ically above the square base which is 20 m by 20m.

1 answer:

puteri [66] · Answer 1 · 2023-04-18T21:00:49+03:00

The volume of the pyramid is 2496 cu.m.

<h3>What is a Pyramid ?</h3>

A pyramid is a three dimensional structure which has a polygon base and in general triangular faces which join at the top .

It is given that

A pyramid $\rm frustum$ has a 4 m by 4 m square top

Height = 12 m

Base = 20 m

The volume of a square pyramid with a $\rm frustum$ is given by

V = (1/2) * ( Area of base + Area of $\rm frustum$ ) * height of the $\rm frustum$ from the base

V = 0.5 * ( 20 *20 + 4*4 ) * 12

V = 2496 cu.m

The volume of the pyramid is 2496 cu.m.

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