A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in. The prism is filled with cubes that have edge lengths of 14 in. How many cubes are needed to fill the rectangular prism?

Question

Mathematics

Bronson Frye

15 June, 01:18

A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in. The prism is filled with cubes that have edge lengths of 14 in. How many cubes are needed to fill the rectangular prism?

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Jayleen Castillo · Answer 1

Change the dimensions of the right rectangular prism to improper-like fractions. The dimensions are 9/4, 2/4, and 4/4 inches.

To find the volume of this right rectangular prism, fill it with ¼ inch cubes. It takes 64 - ¼ inch cubes to fill one unit cube.

The right rectangular prism can be filled with ¼ inch cubes. It takes 9 x 2 x 4 cubes to fill this right rectangular prism. It takes 72 - ¼ inch cubes to fill this right rectangular prism.

The volume of the right rectangular prism is 9/4 x 2/4 x 4/4 = 72/64 or 1 8/64 or 1 1/8 cubic inches.