To determine which box has more sand, we need to calculate the volume of each box using the formula: Volume = Base x Height.
Let's calculate the volume of each box:
For Box A:
Base = 9 inches x 13 inches = 117 square inches
Height = 15 inches
Volume of Box A = Base x Height = 117 square inches x 15 inches = 1,755 cubic inches
For Box B:
Base = 6 inches x 12 inches = 72 square inches
Height = 20 inches
Volume of Box B = Base x Height = 72 square inches x 20 inches = 1,440 cubic inches
Now that we have calculated the volumes of both boxes, we can compare them.
Volume of Box A = 1,755 cubic inches
Volume of Box B = 1,440 cubic inches
Therefore, Box A has more sand because its volume is larger than the volume of Box B.
To solve this problem, we applied the formula Volume = Base x Height, which is used to calculate the volume of a rectangular prism.