Question

Reginald measured a game piece in the shape of a square pyramid. The side length of the base of the pyramid is 2.2 centimeters, and the slant height of the pyramid is 1.8 centimeters. Rounding to the nearest tenth, what is the volume of the pyramid?(1 point)
Responses

3.2 cubic centimeters
3.2 cubic centimeters

6.8 cubic centimeters
6.8 cubic centimeters

2.3 cubic centimeters
2.3 cubic centimeters

2.9 cubic centimeters

Answer 1

Slant height l = 1.8, half the base = 2.2/2 = 1.1. Height h = sqrt(l^2 − (s/2)^2) = sqrt(1.8^2 − 1.1^2) = sqrt(3.24 − 1.21) = sqrt(2.03) ≈ 1.425.

Volume V = (1/3)·(base area)·h = (1/3)·(2.2^2)·1.425 = (1/3)·4.84·1.425 ≈ 2.299 ≈ 2.3 cubic centimeters.

Answer: 2.3 cubic centimeters.