Question

A regular square pyramid is $3$ m height and the perimeter of its base is $16$ m. Find the volume of the pyramid.

• A. 1212 $cu.m$
• B. 1414 $cu.m$
• C. 1616 $cu.m$
• D. 1818 $cu.m$

Answer 1

Answer: (C)

1616 $cu.m$

Given, height of regular square pyramid is $3$ m and the perimeter of its base is $16$ m

Let the base side of pyramid is $l$ m

Then perimeter of base $=4a=16$

So, $a=4$

Then volume of pyramid $=$ $\frac{1}{3}{l}^{2}h=\frac{1}{3}\times (4{)}^2\times 3=16$ $cu.m$