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Scilla [17]
3 years ago
15

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
Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer:

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.

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