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3 years ago

If the length width and height of a cube all quadruple what happened to the volume of the cube

Mathematics

2 answers:

swat323 years ago

7 0

<u>Answer:</u>

Volume will be multiplied by 64.

<u>Step-by-step explanation:</u>

We are to find the effect of quadrupling the length, width and height of a cube on its volume.

Since the length, width and height of a cube are all of the same dimension, let us represent it was a variable $S$ .

$V o l u m e = S ^ 3$

$New Volume = (4S)^3 =64S^3$

Therefore, if the length width and height of a cube all are quadrupled, the volume will be 64 times.

lorasvet [3.4K]3 years ago

4 0

Answer:

if the length, width and height of a cube quadruple, then the volume of the cube will be multiplied by 64.

Step-by-step explanation:

Given a cube of width W, height H and length L, the volume of the cube will be: Volume = W*H*L

If all the three parameters quadruple, then:

New Width = 4W

New Height = 4H

New Length = 4L

New Volume = 4W*4H*4L = 64WHL

Therefore, if the length, width and height of a cube quadruple, then the volume of the cube will be multiplied by 64.

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.In which step below does a mistake first appear in

Dmitry [639]

Answer:

step 2

Step-by-step explanation:

from -8(a+6) to -80 - 48 is incorrect

when you multiply -8 x a it's -8a not -80

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3 years ago

Write each expression as a product of linear factors 1. X^2+1/2x 2. X^2+2x-3 3. (2x-3)^2 4. X^3+2x^2-19x-20

Grace [21]

Answer:

1. X^2+1/2x = $x(x+\frac{1}{2})$

2. X^2+2x-3 = $(x-1)(x+3)$

3. (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 = $(x+1)(x-4)(x+5)$

Step-by-step explanation:

Each expression can be written as a product of linear factors as follows

1. X^2+1/2x ⇒ $x^{2} + \frac{1}{2}x$

$x^{2} + \frac{1}{2}x$ = $x(x+\frac{1}{2})$

Hence, X^2+1/2x = $x(x+\frac{1}{2})$

2. X^2+2x-3 ⇒ $x^{2} +2x-3$

$x^{2} +2x-3 = x^{2} +3x-x-3$

$x^{2} +3x-x-3 = x(x+3) -1(x+3)$

$x(x+3) -1(x+3) = (x-1)(x+3)$

Hence, X^2+2x-3 = $(x-1)(x+3)$

3. (2x-3)^2 ⇒ $(2x-3)^{2}$

$(2x-3)^{2} = (2x-3)(2x-3)$

Hence, (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 ⇒ $x^{3}+2x^{2} -19x -20$

$x^{3}+2x^{2} -19x -20 = (x+1)(x^{2} +x-20)$

First,

$x^{2} +x-20 = x^{2} +5x-4x-20\\x^{2} +5x-4x-20= x(x+5)-4(x+5)\\x(x+5)-4(x+5) = (x-4)(x+5)$

∴ $(x+1)(x^{2} +x-20) = (x+1)(x-4)(x+5)$

Hence, X^3+2x^2-19x-20 = $(x+1)(x-4)(x+5)$

3 0

3 years ago

How many groups of 3 students can be chosen from a class of 15?

lord [1]

Answer:

A. 45

Step-by-step explanation:

multiply 15 x 3 =45

3 0

3 years ago

The produce department of a grocery store sold 288 pounds of tomatoes. the weight represented 72% of the shipment the store rece

Zanzabum

288÷72=4 4x100=400 so there were 400 pounds of tomatoes origionally

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3 years ago

How do you solve step by step (-10)+14+25+(-16)

jeyben [28]

(-10) + 14 + 25 + (-16) Add 14 and 25
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23 - 10 Subtract 10 from 23
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*Remember, you can rearrange expressions like this as long as each number keeps its sign. Notice that (-10) had its negative sign the whole time, even though we moved it around.

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3 years ago