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The dimensions of a rectangular prism are shown below:

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

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

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.


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Incorrect answers: 1-2 star (Make sure you know the answers please!)
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Sagot :

Answer:

I'm not sure sorry

Step-by-step explanation:

I had ever done is before

The volume of the rectangular prism = l × b × h
= 1 1/2 × 1 × 2 1/2
= 3/2 × 5/2
= 15/4 feet³
The volume of the small cube = (1/2)³
= 1³/2³
= 1/8 foot³
To find:
How many small cubes fit in the rectangular prism?
15/4 ÷ 1/8
15/4 × 8
15 × 2
30
Therefore, 30 small cubes can fit inside the rectangular prism.
The volume of the rectangular prism in terms of the small cube
= 1/8 × 30
= 1/4 × 15
= 15/4 feet³
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