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charle [14.2K]
2 years ago
9

What is the volume, in cubic centimeters, of a right rectangular prism that has a lenght of 4 centimeters, a width of 9 centimet

ers, and a height of 10 centimeters?
Mathematics
2 answers:
Temka [501]2 years ago
7 0

Answer:

The volume of the prism is 360 cm^3.

Step-by-step explanation:

The rectangular prism is a three dimensional figure formed by six rectangular faces. It's volume is given by the product of it's three dimensions. The calculation for the volume of this prism is shown bellow:

volume = width*height*length

volume = 9*10*4

volume = 360 cm^3

The volume of the prism is 360 cm^3.

alina1380 [7]2 years ago
5 0

Answer:

360cm³

Step-by-step explanation:

According to the question, we were asked What is the volume, in cubic centimeters, of a right rectangular prism that has a lenght of 4 centimeters, a width of 9 centimeters, and a height of 10 centimeters?

When you hear about a rectangular prism, just know that we are talking about a cuboid and we all know here that the volume of a cuboid is the same as the volume of a rectangular prism which is :

Lengtht x width x breadth.

And in this case,we have the length as 4cm, the width as 9cm and the subsequent height of the prism as 10cm.

Applying this variables into the given formula for obtaining the volume for a prism,

We have 9*10*4 = 360cm³

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The sum of four consecutive odd integers is three more than five times the least of the integers. Find the integers.
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Answer:

<h3>              9, 11, 13, 15</h3>

Step-by-step explanation:

{k - some integer}

2k+1  - the first odd integer (the least)

5(2k+1)  - five times the least

5(2k+1)+3 -<u> three more than five times the least</u>

2k+1+2 = 2k+3  - the odd integer consecutive to 2k+1

2k+3+2 = 2k+5  - the next odd consecutive integer (third)

2k+5+2 = 2k+7  - the last odd consecutive integer (fourth)

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2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3

8k + 16 = 10k + 5 + 3

     - 10k       -10k

-2k + 16 = 8

     -16       - 16    

      -2k = -8  

    ÷(-2)    ÷(-2)  

      k = 4

2k+1 = 2•4+1 = 9

2k+3 = 2•4+3 = 11

2k+5 = 2•4+5 = 13

2k+7 = 2•4+7 = 15  

Check: 9+11+13+15 = 48;  48-3 = 45;  45:5 = 9 = 2k+1

4 0
3 years ago
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