Question

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A rectangular prism made of cubes placed as 3 columns, 2 cubes high and 2 cubes deep.

Find the volume of the right rectangular prism using the cube method. Each cube is 1/3 inch on each side. What is the volume of the prism? Provide your answer as a fraction reduced to the lowest terms.
(1 point)
cubic inches
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An illustration shows a 3 D rectangular cuboid with length of 1 start fraction 1 over 3 end fraction, a width of 1, and a height of start fraction 2 over 3 end fraction. The sides at the back that are not visible are shown as dashed lines.

An illustration shows a rectangular prism made of cubes placed as 3 columns, 2 cubes high and 2 cubes deep.

1 answer

To find the volume of the rectangular prism, we need to multiply the length, width, and height of the prism.

Length = 3 columns x 1/3 inches = 1 inch
Width = 2 cubes deep x 1/3 inches = start fraction 2 over 3 end fraction inches
Height = 2 cubes high x 1/3 inches = start fraction 2 over 3 end fraction inches

Therefore, the volume of the rectangular prism is:

1 inch x start fraction 2 over 3 end fraction inches x start fraction 2 over 3 end fraction inches
= 1 x start fraction 2 over 3 end fraction x start fraction 2 over 3 end fraction
= start fraction 4 over 9 end fraction cubic inches

So, the volume of the prism is start fraction 4 over 9 end fraction cubic inches.