Question

A regular-size box of cereal measures 3 1/2 inches by 8 1/2 inches by 15 inches. The manufacturer also sells an individual-size box that has a volume that is 1 1/0 of the volume of the regular-size box.
What is the volume of the individual-size box of cereal?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer 1

The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.

What is the volume of a rectangular prism?

The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, the standard dimensions are:

• l = 3(1/2) = 3 + 0.5 = 3.5 inches.

• w = 8(1/2) = 8 + 0.5 = 8.5 inches.

• h = 15 inches.

The individual-size box has a 1/10 of the volume of the original box, hence:

V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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