A slice of watermelon approximate the shape of a rectangular Pyramid. Nicole's slice is 1 in wide, 10 1/2 in long, and 8 in tall. What is the approximate volume of her watermelon slice?

1 answer

The volume of a rectangular pyramid is given by the formula V = (1/3)Bh where B is the area of the base and h is the height.

In this case, the base of the pyramid is a rectangle with dimensions 1 in by 10 1/2 in, so the area of the base is:

B = 1 in x 10 1/2 in = 10 1/2 in²

The height of the pyramid is 8 in, so the volume of the slice is:

V = (1/3)10 1/2 in² x 8 in ≈ 28 in³

Therefore, the approximate volume of Nicole's watermelon slice is 28 cubic inches.