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 $V=s^{2}h$:

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.