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Degger [83]
2 years ago
6

The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.

Mathematics
1 answer:
zysi [14]2 years ago
4 0

Answer:

  • See below

Step-by-step explanation:

<u>Dimensions given:</u>

  • l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ft

A small cube has side of 1/4 ft

Find the number of small cubes can fit in each dimension of the prism.

<u>Length</u>

  • 2 1/4 : 1/4 = 9/4 * 4 = 9

<u>Width</u>

  • 1 : 1/4 = 1 *4 = 4

<u>Height</u>

  • 1 1/4 : 1/4 = 5/4 * 4 = 5

Part A

<u>Number of small cubes would be:</u>

  • 9*4*5 = 180

Part B

<u>Each small cube has volume:</u>

  • V = (1/4)³ = 1/64 ft³

The volume of the prism in terms of small cubes is 180 as we found above.

<u>The volume in terms of unit cube:</u>

  • V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³
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