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Zachary has 4 cube-shaped planters to fill with soil. If each planter measures 11 inches along each edge, how many cubic inches of soil will it take to fill all the planters?

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Final answer:

To fill all four of Zachary's cube-shaped planters that measure 11 inches along each edge, he will need 5,324 cubic inches of soil.

Step-by-step explanation:

To find the total volume of soil needed to fill Zachary's planters, we first calculate the volume of one cube-shaped planter. Since the length of each edge of the planter is 11 inches, the volume V of one planter can be found using the formula for the volume of a cube, V = s³, where s is the length of one side of the cube. Therefore, the volume of one planter is V = 11 inches × 11 inches × 11 inches = 1,331 cubic inches. To find the total volume for all four planters, we multiply the volume of one planter by 4, so the total volume Vtotal = 4 × 1,331 cubic inches = 5,324 cubic inches. Zachary will need 5,324 cubic inches of soil to fill all four planters.

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