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Shkiper50 [21]
3 years ago
14

A prism is filled with 44 cubes with 1/2 units side lengths. What is the volume of the prism in cubic units?

Mathematics
1 answer:
Tanzania [10]3 years ago
8 0
The volume would be 5.5 cubic units.

First, we need to find the volume of one cube. It would be LWH.
0.5 x 0.5 x 0.5 = 0.125

Now, just multiply that volume by 44.
0.125 x 44 = 5.5
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Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

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22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

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You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

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Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

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Combine like terms once more:

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Divide each side by '8'.

a = -2

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a = -2

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Hope I could help! :)

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