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ella [17]
3 years ago
12

Points A, B, and C are collinear. Point B is between A and C. Find the length of of segment AC if the measure of segment AB= 8 a

nd the measure of segment BC = 6. Just provide the value of the length
Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

The value of the length of AC is 14

Step-by-step explanation:

When points are collinear, it simply means that the points lie on the same straight line.

In this question , we have three points which lie on same straight line.

These are points A, B and C with B between A and C.

Thus the length AC can be obtained by adding the length of AB to the length of BC

Mathematically, the value of the length of AC will be 8 + 6 = 14

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A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism
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<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

V=L\times W\times H

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

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In fact, the volume is 252cm^3 because:

V=14\times 6\times 3 \therefore V=252cm^3

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

L=14cm \\ \\ W=6cm \\ \\ H=6cm

So the new volume is:

V=14\times 6\times 6 \therefore V=504cm^3

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em>252cm^3 \ to \ 504cm^3 <em>and since</em> 504=2\times 252 <em>we can say that the new volume is two times the original volume.</em>

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