Question

Hello my child needs help with this problem can you please help meKyle 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

Case: Volumes

`\begin{gathered} Volume \\ V=l* w* h \end{gathered}`

Where l is length, w is width and h is height.

Given:

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

Method:

For Kyle,

Volume:

`\begin{gathered} V=l* w* h \\ 12=2* w*3 \\ 12=6w \\ w=(12)/(6) \\ w=2ft \end{gathered}`

For Myla,

Volume:

`\begin{gathered} V=l* w* h \\ 16=2* w*4 \\ 16=8w \\ w=(16)/(8) \\ w=2ft \end{gathered}`

The length and width of both boxes are 2ft and 2ft respectively. But they have different heights.

Final answer:

Both have a width of 2ft

Explanation: Same length and width, different heights hence different width