A preschool is shopping for sand for it's 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 Volume = Base x Height to solve. Show your work
To find the volume of Box A:
Volume A = Base x Height
Volume A = 9 x 13 x 15
Volume A = 1755 cubic inches.
To find the volume of Box B:
Volume B = Base x Height
Volume B = 6 x 12 x 20
Volume B = 1440 cubic inches.
Therefore, Box A has more sand than Box B, as its volume is larger.
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.
To compare the volumes of Box A and Box B, we can use the formula for the volume of a rectangular prism: Volume = Base x Height.
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 = 1755 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 = 1440 cubic inches
Therefore, Box A has more sand because its volume is 1755 cubic inches, while Box B has a volume of 1440 cubic inches.