Question

question 3
the volume of a pyramid is 50 cubic units. the base is a square with sides of length 5. what is the height?
2 units
4 units
6 units
10 units

Explanation:

Step1: Find the area of the base

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

Step2: Use the volume formula of a pyramid

The volume formula of a pyramid is \(V=\frac{1}{3}Ah\), where \(V = 50\) (volume), \(A=25\) (base area), and \(h\) is the height.
Substitute the values into the formula: \(50=\frac{1}{3}\times25\times h\).
First, simplify the equation: \(50=\frac{25h}{3}\).
Multiply both sides by \(3\): \(50\times3 = 25h\), so \(150=25h\).
Then divide both sides by \(25\): \(h=\frac{150}{25}=6\).

Answer:

6 units