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Elan Coil [88]
3 years ago
6

Length of a rectangular prism is increased by factor of 1.5. The width is doubled and height is tripled. What is the new volume?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Nine times the original volume

Step-by-step explanation:

Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.

The volume of the rectangular prism is given by,

V = W x l x h

The original volume of the rectangular prism is,

V = wlh

Here the length is 1.5 the original length

So, l = 1.5 x l = (1.5l)

And the with is doubled. So,

W = 2W

The height is tripled. So,

h = 3h

Volume of the new rectangular prism is,

V = (1.5l) (2w) (3h)

V = 9 wlh

We know that wlh is the original volume of the rectangular prism.

So the new volume is 9 times the original volume.

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A frame is marked down by 22 percent from an original price of $14.50. What is the new price?
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2. Which algebraic expression represents the following phrase?
oksian1 [2.3K]

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Step-by-step explanation:

Let us represent some words by mathematics expressions

  • Square a number ⇒ x²
  • Square the sum of two numbers ⇒ (x + y)²
  • Sum of the squares of two numbers ⇒ x² + y²
  • Square of difference of two numbers (x - y)²
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∵ The expression is the square of the difference of s and 6

- That means find the difference between s and 6 at first,

   then square the difference

∵ The difference of s and 6 = s - 6

- Square this difference means but the difference in a bracket

   and then square the bracket

∴ The square of the difference = (s - 6)²

The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²

Learn more:

You can learn more about the algebraic expressions in brainly.com/question/10771256

#LearnwithBrainly

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