MATH SOLVE

4 months ago

Q:
# Mr carlo is building a storage box in his workshop. The space where he plans to put the box is 5 feet long by 2 feet wide. He wants the volume of the box to be at least 36 cubic feet, but no more than 56 cubic feet. How tall should mr. Carlo make the box? Explain

Accepted Solution

A:

Answer: Mr. Carlo make the box with the height 4 feet or 5 feet .Step-by-step explanation:Since we have given that Length of a storage box =5 feetBreadth of a storage box =2 feetHeight of a storage box =hVolume must be at least 36 cubic feet but no more than 56 cubic feet. Possibility of h will be 4 and 5 Case I:[tex]\text{volume of storage box}= 5\times 2\times 4 = 40 \text{ cubic feet}[/tex]Case II :[tex]\text{ Volume of box }=5\times 2\times 5 =5 \text{ cubic feet}[/tex]So, it can be 40 cubic feet or 50 cubic feet . So, height can be 4 feet or 5 feet .