Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of 12 ft.3 . Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16 ft.3 . What are the widths of Kyle and Myla's boxes? Explain how you know.

Question

Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of 12 ft.3 . Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16 ft.3 . What are the widths of Kyle and Myla's boxes? Explain how you know.

Answer 1

To find the width of each box, we can use the formula for the volume of a rectangular box:

Volume = length x width x height

For Kyle's box:
12 ft^3 = 2 ft x width x 3 ft
12 ft^3 = 6 ft x width
width = 12 ft^3 / 6 ft
width = 2 ft

For Myla's box:
16 ft^3 = 2 ft x width x 4 ft
16 ft^3 = 8 ft x width
width = 16 ft^3 / 8 ft
width = 2 ft

Therefore, the width of both Kyle and Myla's storage boxes is 2 ft.

Answer 2

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Answer 3

The width of Kyle's and Myla's boxes is 2 ft because the volume is divided by the product of the length and height. For both boxes, the volume divided by the product of length and height equals the width. Therefore, both boxes have a width of 2 ft.