The formula for finding the volume of a square prism is , where is the length of each side of

the square base and is the height of the prism. Evaluate to find the volume given values of
and .(1 point)
𝑠
2
s h ℎ
2 s𝑠
hℎ
s = 4 𝑠 = 4 h = 6 ℎ = 6
48 cubic centimeters
96 cubic centimeters
144 cubic centimeters
576 cubic centimeters

1 answer

To find the volume of a square prism, we use the formula:

\[ V = s^2 \cdot h \]

where \( s \) is the length of each side of the square base, and \( h \) is the height of the prism.

Given \( s = 4 \) cm and \( h = 6 \) cm, we can substitute these values into the formula:

  1. Calculate \( s^2 \): \[ s^2 = 4^2 = 16 \text{ square centimeters} \]

  2. Now multiply by the height \( h \): \[ V = s^2 \cdot h = 16 \cdot 6 = 96 \text{ cubic centimeters} \]

Thus, the volume of the square prism is 96 cubic centimeters.