The measure of one side of the base = 4 cm
Formula for the volume of a square pyramid [tex]V=\frac{1}{3}\times a^2h[/tex]
The area of the base of the pyramid = 16 cm²
Length of the side of the base of the pyramid = 4 cm
Solution:
Given data:
Volume of a square pyramid = 48 cm³
Height of the square pyramid = 9 cm
Formula for the volume of a square pyramid:
[tex]$V=\frac{1}{3}\times a^2h[/tex], where a is one side of the base and h is height.
Substitute volume and height in the formula,
[tex]$48=\frac{1}{3}\times a^2\times9[/tex]
[tex]$48=a^2\times 3[/tex]
Divide by 3 on both sides of the equation,
[tex]$16=a^2[/tex] – – – – (1)
Taking square root on both sides of the equation, we get
a = 4
One side of the base = 4 cm
Area of the base = side × side
It is already found in equation (1),
Area of the base = 16 cm²
Length of the side of the base of the pyramid = 4 cm.
