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3 years ago

A box has a volume of 144 in3 and a height of 4 1/2 in.What is the base area of the box?

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

Box volume can be computed by getting the base area multiplied by the total height.

in formula for volume we have,

V = Base Area x H. Given the Volume of 144 cu in and H = 4.5 in. we can solve for Base Area (BA)

Volume (144 cu in) = BA x Height (4.5 in)

BA = 144 cu in/4.5 in

Base Area = 32 square inches

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Given the function

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Add (-1/2)² to both sides

$x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2$

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solving

$x-\frac{1}{2}=\sqrt{-\frac{1}{2}}$

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Add 1/2 to both sides

$x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}$

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also solving

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Add 1/2 to both sides

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