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I NEED HELP ASAP!!!!!!!!!!!!!!!!!!!! PLS COME QUICK! Question 4 (Essay Worth 10 points)
(01.07 MC)

The dimensions of a rectangular prism are shown below:

Length: 2 and 1 over 4 feet
Width: 1 foot
Height: 1 and 1 over 4 feet
The lengths of the sides of a small cube are 1 over 4 foot each.

Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points)

Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 points)

Respuesta :

The number of cube that can be packed in the rectangular prism is 30 cubes

Volume of the rectangular prism in terms of small cube and unit cube = 30(1 / 8) ft³

How to find the volume of rectangular prism and cube?

volume of rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

volume of rectangular prism = 3 / 2 × 1 × 5 / 2  = 15 / 4 ft³

volume of cube = 1 / 2 × 1 / 2 × 1 / 2  = 1 / 8 ft³

number of cube that can be packed in the rectangular prism = 15 / 4 × 8 =  30 cubes

Volume of the rectangular prism in terms of small cube and unit cube = 30(1 / 8) ft³

learn more on volume here: https://brainly.com/question/27879920

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