Connect with a knowledgeable community and get your questions answered on IDNLearn.com. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.
Sagot :
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:
https://brainly.com/question/21308574
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.