A preschool is shopping for sand for its sandbox. Box A is 9 inches wide by 13 inches long by 15 inches high. Box B is 6 inches wide by 12 inches long by 20 inches high. Which box has more sand? Apply the formula V=B⋅h to solve. Show your work.
To find the volume of each box, we need to multiply the area of the base (B) by the height (h) of the box:
For Box A:
B = 9 inches x 13 inches = 117 square inches
h = 15 inches
V = B x h = 117 sq in x 15 in = 1755 cubic inches
For Box B:
B = 6 inches x 12 inches = 72 square inches
h = 20 inches
V = B x h = 72 sq in x 20 in = 1440 cubic inches
Therefore, Box A has more sand as it has a greater volume of 1755 cubic inches compared to Box B which has a volume of 1440 cubic inches.