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3 years ago

7

Calculate the breath of the cuboid if the volume is 18 cubic cm. The height is 2cm and the width is 6cm

1 answer:

navik [9.2K]3 years ago

8 0

We know that:
$V=w \times h \times b$
Therefor:
$b=\frac{V}{h \times w}$
$b=\frac{16cm^{3}}{2cm \times 6cm}$
$b=\frac{18cm^{3}}{12cm^{2}}$
$b=1\frac{1}{2}cm=1.5cm$

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<h2>Steps:</h2>

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Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

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Next, square root both sides of the equation:

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Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

Product rule of radicals: √ab = √a × √b

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<h2>Answer:</h2>

In exact form, your answer is $m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}$

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