The formula for finding the volume of a square prism is s2h , where s is the length of each side of the square base and h is the height of the prism. Evaluate to find the volume given values of s = 4 and h = 6 .(1 point)

Question

Responses

96 cubic centimeters
96 cubic centimeters

144 cubic centimeters
144 cubic centimeters

48 cubic centimeters
48 cubic centimeters

576 cubic centimeters

Answer 1

To find the volume of a square prism using the formula \( V = s^2h \):

1. Substitute the given values into the formula:

   • \( s = 4 \) cm
   • \( h = 6 \) cm

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

3. Now multiply \( s^2 \) by \( h \): \[ V = s^2 \times h = 16 \text{ cm}^2 \times 6 \text{ cm} = 96 \text{ cm}^3 \]

So the volume of the square prism is 96 cubic centimeters.