Arectangular prism is changed by doubling its length, halving its width, and tripling its height. how will these changes affect its volume?   a.  the volume is multiplied by 3.  b.  the volume is increased by 3.  c.  the volume is doubled.  d.  the volume is multiplied by 6.

Option A - The volume is multiplied by 3.                            

Step-by-step explanation:

Given : A rectangular prism is changed by doubling its length, halving its width, and tripling its height.

To find : How will these changes affect its volume?

Solution :

Let L be the length, W be the width and H be the height of the rectangular prism.

The volume of the rectangular prism is

Now, A rectangular prism is changed by doubling its length, halving its width, and tripling its height.

i.e. L=2L , and H=3H

Substituting in the volume formula,

Which means the volume is multiplied by 3.

Therefore, Option A is correct.

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d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.