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.