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The widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft
How to find the volume of a right rectangular prism?
Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A storage box oftenly has the shape of a right rectangular prism.
We're specified that:
For Kyle's box:
- Volume of the box = 12 cubic ft
- Length of the box = 2 ft
- Height of the box = 3 ft
- Width of the box = x ft (suppose)
For Myla's box:
- Volume of the box = 16 cubic ft
- Length of the box = 4 ft
- Height of the box = 2 ft
- Width of the box = y ft (suppose)
Using the formula for volume of right rectangular prism to find the missing widths:
- Case 1: For Kyle's box:
[tex]12 = 2 \times 3 \times x\\12 = 6 \times x\\\text{Dividing both the sides by 6}\\2= x\\x = 2 \: \rm ft[/tex]
- Case 2: For Myla's box:
[tex]16 = 4 \times 2 \times y\\16 = 8 \times x\\\text{Dividing both the sides by 8}\\2= y\\y = 2 \: \rm ft[/tex]
Thus, the widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft
Learn more about volume of a right rectangular prism here:
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