What is the volume of a square pyramid if the length of an edge of the base is 7 and the altitude
of the pyramid is 12?
(1) 28
(2) 56
(3) 196
(4) 588

We have been given that the length of an edge of a square pyramid is 7 and altitude of the pyramid is 12. We are asked to find the volume of the pyramid.

We will use volume of pyramid formula to solve our given problem.

, where,

b = Area of base of pyramid,

h = Height of pyramid.

We know that area of a square is square of its side length, so area of the base of pyramid would be .

The height of the pyramid will be equal to altitude.

Therefore, the volume of the given pyramid would be 196 cubic units and 3rd option is the correct choice.

da freeck kinda math is this just drop out

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have