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Oliga [24]
3 years ago
13

A box in the shape of a right rectangular prism has a length of 8 inches, a width of 4 inches, and a height of 3 inches. What is

the volume, in cubic inches, of the box? Do not round your answer.
Mathematics
1 answer:
coldgirl [10]3 years ago
5 0

Answer:

V = 96 cubic inches

Step-by-step explanation:

Volume of a rectangular prism is V= LWH,  

we are given W = 4, L = 8, and H = 3.  Plug  them in and find W...

V = (4)(8)(3)

   V = 32(3)

 

      V = 96 cubic inches

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Answer:

The length of the side of an equilateral traingle s=2\sqrt{2} inches

Step-by-step explanation:

Given that the area of an equilateral triangle is given by

A=3^\frac{1}{2}s^2

It can be written as

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Given that area of an equilateral triangle is 12^\frac{1}{2} square inches

It can be written as

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A=12^\frac{1}{2}

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Now comparing equations (1) and (2) we get

\frac{\sqrt{3}}{4}s^2=\sqrt{12}

\frac{\sqrt{3}}{4}s^2=\sqrt{4\times 3}

Dividing by \frac{\sqrt{3}}{4} on both sides we get

\frac{\frac{\sqrt{3}}{4}s^2}{\frac{\sqrt{3}}{4}}=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{4}}

\frac{\sqrt{3}}{4}s^2\times\frac{4}{\sqrt{3}}=2\sqrt{3}\times\frac{4}{\sqrt{3}}

s^2=8

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Therefore s=2\sqrt{2} inches

Therefore the length of the side of an equilateral traingle s=2\sqrt{2} inches

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