Question

There is a mountain. The mountain is in the shape of a square pyramid. The base of the mountain measures 120 feet by 30 feet. The height of the mountain is 100 feet. What is the volume of the mountain?

Answer 1

Volume of a rectangular pyramid=(1/3)Bh
B=base=120 ft * 30 ft=3600 ft²
h=100 ft

Volume=(1/3)(3600 ft²)(100 ft)=120000 ft³

Answer: 120000 ft³

Answer 2

$\bf{Volume=\frac{1}{3}\times (Area~of~base)\times Height}\\\\V =\frac{1}{3} \times (120\times 30)\times 100}\\\\V = \frac{1}{3} \times 3600 \times 100}\\\\V = 1200 \times 100}\\\\\boxed{\bf{V=120,000~feet^3}}$