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A box shaped as a rectangular prism can hold 176 wooden cubes with edge lengths of 1/2 ft. What is the volume of the box?

Sagot :

MrRoyalidn

The volume of the rectangular prism is the amount of space in the box

The volume of the rectangular prism is 22 cubic feet

How to determine the volume of the box

The dimension of the cube is given as:

Length = 1/2 ft

So, the volume of the cube is:

[tex]V = (\frac 12)^3[/tex]

Evaluate the exponent

[tex]V =\frac 18[/tex]

There are 176 cubes in the prism.

So, the volume of the prism is:

[tex]V_2 = 176 * \frac 18[/tex]

[tex]V_2 = 22[/tex]

Hence, the volume of the rectangular prism is 22 cubic feet

Read more about volumes at:

https://brainly.com/question/1972490

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