Eric Tangler prism with the value of 10 cubic units is filled with cubes the side lengths of 1/2 unit how many 1/2 unit cubes does it take to fill the prism?

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Complete Question

Rectangular prism with the value of 10 cubic units is filled with cubes the side lengths of 1/2 unit how many 1/2 unit cubes does it take to fill the prism?

Answer:

80 cubes

Step-by-step explanation:

Step 1

The volume of a cube = (side length)³

From the above question, the side length of the cube = 1/2 unit

Hence, the volume of the cube = (1/2 unit)³

= 1/8 cubic units

Step 2

Rectangular prism with the value of 10 cubic units.

The number of 1/2 unit cubes that it takes to fill the prism is calculated as:

10 cubic units ÷ Volume of 1/2 unit cubes

= 10 cubic units ÷ 1/8 cubic units

= 10 × 8/1

= 80 cubes.

Therefore, number of 1/2 unit cubes that it takes to fill the prism is 80 (1/2 units) cubes