Question

The figure below is a square pyramid where the height of the pyramid is 2 centimeters and the volume is 24 cubic centimeters. If the volume of a pyramid is , then what is the length of the base?

Answer 1

Answer:

6cm is the length of the base

Answer 2

The length of the base is = 6 cm

Step-by-step explanation:

Given that volume of pyramid = 24 $cm^{3}$

Height of the pyramid h = 2 cm

We know that volume of the pyramid is given by

$V = \frac{1}{3} A h$    

$A = 3 \frac{V}{h}$

Put the value of V & h in the above formula

$A = 3 (\frac{24}{2} )$

A = 36 $cm^{2}$

This is the area of the pyramid.

Since it is square pyramid so its area is = $a^{2}$

⇒ $a^{2}$ = 36

⇒ a = 6 cm

Since it is square pyramid so its length & base is equal.

Thus the length of the base is = 6 cm