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andre [41]
2 years ago
6

The volume of a cube is found using the formula l3, where l is the side length. What is the volume of a cube, in cubic feet that

is 3/5 of a foot long
Mathematics
1 answer:
Fudgin [204]2 years ago
7 0
<span>The volume of a cube is defined by the formula l^3, as stated in the problem. The length of the cube given to us is 3/5 of a foot, meaning that the value of l is 3/5. So if we plug this into the equation, we get that (3/5)^3 = (3)^3/(5)^3 = 27/125. The units will also match up to be in cubic feet, so the answer is that the volume will be 27/125 cubic feet.</span>
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Evaluate: <img src="https://tex.z-dn.net/?f=%5Csqrt%5B-3%5D%7B27%7D" id="TexFormula1" title="\sqrt[-3]{27}" alt="\sqrt[-3]{27}"
GenaCL600 [577]

Answer:

1/3 is the simplified form for given expression.

Step-by-step explanation:

Given that:

=\sqrt[-3]{27}

By simplifying:

Radical sign will be removed as follows:

= 27^{-1/3}

For removing the "-" sign from power, base will be inverted:

= (1/27) ^ {1/3}

27 can also be written as 3 * 3 * 3 = 3^3

So,

= (1/3^3)^{1/3}

= 1^{1/3} / 3^{3* 1/3}

By simplifying we get:

= 1/3

i hope it will help you!

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