Yolanda is only allowed to eat 28 in.3 of watermelon at a time. If one slice in the shape of a rectangular pyramid has a base length of 10.5 in. and an altitude of 8 in., what is the maximum width of the watermelon slice’s base?
A. 3 in
B. 1 in
C. 784 in
D. 0.33 in
The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * altitude.
In this case, we are given the volume as 28 in^3, the base length as 10.5 in, and the altitude as 8 in. Plugging these values into the formula:
28 = (1/3) * (10.5 * base) * 8
28 = (35 * base) * 8
28 = 280 * base
base = 0.1 in
Therefore, the maximum width of the watermelon slice's base is 0.1 in. This is not one of the options given. It is possible that there was a mistake in the calculations.
Let's verify it:
V = (1/3) * 10.5 * 8 * base = 28
base = 28 / (1/3 * 10.5 * 8)
base = 0.84 in
Thus, the maximum width of the watermelon slice's base is 0.84 in, which is not listed among the answer choices.