Question

1. calculate the volume of a square - based pyramid with a base side of 5 units and height of 10 units.

a. 83.33 cubic units
b. 150 cubic units
c. 100 cubic units
d. 50 cubic units

Explanation:

Step1: Calculate the base area

The base is a square with side \(s = 5\) units. The area of a square \(A_{base}=s^{2}\), so \(A_{base}=5^{2}=25\) square units.

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}A_{base}h\), where \(h = 10\) units. Substitute \(A_{base}=25\) and \(h = 10\) into the formula: \(V=\frac{1}{3}\times25\times10=\frac{250}{3}\approx83.33\) cubic units.

Answer:

A. 83.33 cubic units