Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of 12 ft cubed. Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16ft. cubed. 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 volume of a rectangular prism: V = l x w x h, where V is the volume, l is the length, w is the width, and h is the height.

For Kyle's box:
V = l x w x h
12 = 2w x 3
4 = w x 3
w = 4/3 ft.

Therefore, the width of Kyle's box is 4/3 ft.

For Myla's box:
V = l x w x h
16 = 2w x 4
4 = w x 2
w = 2 ft.

Therefore, the width of Myla's box is 2 ft.

We can check our answers by plugging in the values we found for length, width, and height of each box into the formula for volume, and making sure we get the correct volume.