You are building a curio cabinet in the form of a rectangular prism that must be 30 inches tall with a volume of 4800 cubic inch
es. The length and width each must be less than 3 feet. Which of the following dimensions are the possible width and length of the cabinet a. 3 in by 40 inb. 6 in by 20 inc. 7 in by 16 ind. 9 in by 13 ine. 10 in by 12 in
The possible dimension should be 8 inches by 20 inches.
Step-by-step explanation:
The curio cabinets is in form of a rectangular prism that must be 30 inches tall with a volume of 4800 inches³. The length and width each must be less than 3 ft .
1 ft = 12 inches
3 ft = 36 inches.
This means the length and width each must be less than 36 inches .
volume of a rectangular prism = length × width × height
height = 30 inches
4800 = 30 lw
divide both sides by 30
160 = lw
The product of length and width should be equals to 160.
lw = 160
The possible dimension should be 8 inches by 20 inches.
