Question

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

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

Explanation:

Step1: Calculate the base area

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

Step2: Use the volume formula for a pyramid

The volume formula for a pyramid is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Here \(A = 25\) and \(h = 10\). Then \(V=\frac{1}{3}\times25\times10=\frac{250}{3}\approx83.33\) cubic units.

Answer:

B. 83.33 cubic units