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2 years ago

Which term does not belong with the other three

Mathematics

1 answer:

AnnyKZ [126]2 years ago

8 0

It seems that you have missed few parts of the question.

I searched that question on internet and got the complete question as follows:

Which term does not belong with the other three: lines, segments, planes, and rays?

Answer:

Line, segments and rays all are 1-dimensional quantity like they move in just one direction. While plane is a 2-dimensional quantity like it has length and breadth.

In that case term "plane" doesn't belong with the other three.

Hence final answer is "plane".

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A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.

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<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

$V=\frac{1}{6}s^3$

<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

$V = \frac{1}{3} a^2h$

Where, "h" is the height of pyramid

"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

Therefore,

a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

$h = \frac{1}{2} \times s\\\\h = \frac{s}{2}$

<em><u>Thus the volume of pyramid becomes:</u></em>

$V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}$

$\boxed{V=\frac{1}{6}s^3}$

Thus the formula represents the volume of the pyramid is $\frac{s^3}{6}$

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Step-by-step explanation:

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