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Sergeu [11.5K]
2 years ago
8

A shipping box is in the shape of a cube. Each side measures

exFormula1" title="3c^{6} d^{2}" alt="3c^{6} d^{2}" align="absmiddle" class="latex-formula"> inches. Express the volume of the cube as a monomial.
Mathematics
1 answer:
Andreyy892 years ago
5 0

The expression for the volume of the cube is 27c¹⁸d⁶.

<h3>What is the volume of the cube?</h3>

The volume of a cube is equal to the product of the length, width, and height of a cube.

The volume of a cube is length × breadth× height

Given that each side of the cube is 3c⁶d² inches.

The volume of a cube is given by the formula as

The volume of a cube =  length × breadth× height

Since each side of the cube = 3c⁶d² inches.

Substituting the value of the side,

The volume of a cube =  3c⁶d²  × 3c⁶d² × 3c⁶d²

The volume of a cube = (3c⁶d² )³

The volume of a cube = 27c¹⁸d⁶

Therefore, the expression for the volume of the cube is 27c¹⁸d⁶.

Learn more about the cube here:

brainly.com/question/15420947

#SPJ1

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Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
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