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# Algebra 1 Volume and Scientific Notation

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The side length of a cube is 3.78 times 10 to the 3rd power ft. What is the volume of the cube?

Feb 19, 2022

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$$3.78^3 = 54.010152$$

$$(10^3)^3 = 10^9$$

Move the decimal point to the left 1, and you have : $$5.4010152$$

Because we moved the decimal point back by 1, we add 1 to the power of 10, making the answer: $$\color{brown}\boxed{5.4010152 \times 10^{10}}$$

Feb 19, 2022