Question

A right rectangular prism is made up of 12 cubes that are 1/2-inch on each side. Use the cube method or the formula method to find the volume. Provide your answer as an improper fraction reduced to the lowest terms.

Answer 1

The cube method involves counting the number of cubes in each layer and multiplying by the number of layers. In this case, since there are 12 cubes, we know that there must be three layers (since 3 x 4 = 12). Each layer consists of a rectangle of four cubes, so the dimensions of the prism are 4 x 3 x 2 (four cubes wide, three cubes high, and two cubes deep).

Using the formula V = lwh, where V is volume, l is length, w is width, and h is height, we can calculate the volume as:

V = 4 x 3 x 2 x (1/2)^3
V = 4 x 3 x 2 x 1/8
V = 3/2

Therefore, the volume of the prism is 3/2 cubic inches.

Answer 2

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Answer 3

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