Question

6. The volume of a square pyramid with a height of
12 m is 100 m. Find the length of its square base.​

Answer 1

Answer:

Length of square base = 5 m

Step-by-step explanation:

Given, height of pyramid = 12m

Volume of pyramid = 100 m³

Let the length of the square base be x m.

Volume of square pyramid = 1/3 × B × h

where, B = area of base

h = height of pyramid

$100 = \frac{1}{3} \times {x}^{2} \times 12 \\ {x}^{2} = \frac{100 \times 3}{12} = \frac{100}{4} = 25 \\ x = \sqrt{25} = 5$