Using the formula for the volume of a right rectangular prism. What is the area of the base when the volume is 15 cubic units in the height is two units

1 answer

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

Given that the volume is 15 cubic units and the height is 2 units, we can set up the equation as follows:

15 = lwh

Since the height is 2 units, we can simplify the equation to:

15 = lw(2)

Dividing both sides by 2, we get:

7.5 = lw

Now, if we let the length be 5 units and the width be 1.5 units (or vice versa), the area of the base can be calculated as:

Area of base = length * width
Area of base = 5 * 1.5
Area of base = 7.5 square units

Therefore, the area of the base of the prism would be 7.5 square units.