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?
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.
To find the approximate volume of Nicole's watermelon slice shaped like a rectangular pyramid, you can use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a rectangle, so the base area can be found by multiplying the length and width:
Base area = width * length = 1 in * 10.5 in = 10.5 in^2
Now, using the given height of 8 in and the calculated base area, we can find the volume:
Volume = (1/3) * 10.5 in^2 * 8 in
≈ 27.99 in^3
Therefore, the approximate volume of Nicole's watermelon slice is approximately 27.99 cubic inches.