Questions: The following rectangular prism has a width of 7 m, a length of 13 m, and a volume of 455 m^3. What is the height, h?

Solution Steps

The formula for the volume of a rectangular prism is V = l * w * h, where V is volume, l is length, w is width, and h is height.

We know the following values:

• V = 455 m³
• l = 13 m
• w = 7 m

Substituting these values into the formula, we get 455 = 13 * 7 * h.

Simplify the equation to 455 = 91 * h.

To isolate the variable h, divide both sides of the equation by 91: h = 455 / 91.

Solving for h, we get h = 5 m.

Final Answer: The height of the rectangular prism is 5 meters.