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3 years ago

10

Mathematics

1 answer:

wlad13 [49]3 years ago

3 0

Answer:10

Step-by-step explanation:

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A rectangular prism with a volume of 333 cubic units is filled with cubes with side lengths of \dfrac14 4 1 start fraction, 1,

sergey [27]

Answer:

192 unit cubes.

Step-by-step explanation:

Let n represent number of cubes with each side 1/4 unit.

We have been given that a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. We are asked to find the number of cubes that will fill that prism.

First of all, we will find volume of each cube.

$\text{Volume of cube}=\text{Side length}^3$

$\text{Volume of cube}=(\frac{1}{4}\text{ unit})^3$

$\text{Volume of cube}=\frac{1^3}{4^3}\text{ unit}^3$

$\text{Volume of cube}=\frac{1}{64}\text{ unit}^3$

The volume of rectangular prism will be equal to volume of n cubes.

$\text{Volume of n cubes}=\text{Volume of rectangular prism}$

$n\times \frac{1}{64}\text{ Unit}^3=3\text{ Unit}^3$

$n\times \frac{1}{64}=3$

$n\times \frac{1}{64}\times 64=3\times 64$

$n=192$

Therefore, it will take 192 unit cubes to fill the prism.

8 0

4 years ago

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What is the equation of a line parallel to y=-4x-7 that passes through 2,29

Elena-2011 [213]

Parallel means the slopes are equal, so -4 stays the same, and for the line to fall on (2,29) the y int must be 37.

so, answer: y=-4x+37

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2 years ago

I will give brainliest

Ugo [173]

Answer:

Step-by-step explanation:

since it is a cube the all sides are equal

v=a³

512 = a³

a=³√512

a=8

the length of the rock=8

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3 years ago

5 - 7 second power + 6 - 7 second power + 5 - 7 second power + 6 - 7 second power + 10 - 7 second power + 10 - 7 second power

Zanzabum

ANSWER: -252

HOW TO GET IT:

Simply follow PEMDAS. Solve each exponent first, then do the rest.

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3 years ago

What # × what # equals 2079

vesna_86 [32]

You can divide it by 9 and get 231 so 231 times 9 equals 2079

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3 years ago

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