Question

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 inches. 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

Answer 1

The possible dimension should be 8 inches by 20 inches.

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.