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Mariulka [41]
3 years ago
15

A planter in the shape of a cube has a volume of 1,000 inches to the 3 power. Is the area of the base of the cube greater than o

r less than 1 square foot?
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0
When the solid is a cube,its volume is equal to its side raised to the power of 3. The equation is written below:

V = s³

Since 1,000 is raised to the power of 3, then it means that the side length is equal to 1,000 inches. The base of the cube is also a square. Thus, its area is s². Note that there are 12 inches in 1 ft.

A = (1000 in * 1ft/12 in)² = 6,944.44 ft²

Thus, the area of the base is greater than 1 square foot.
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