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uysha [10]
3 years ago
13

The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete

r,find the dimensions of the box.​
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

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Answer:

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4 0
3 years ago
A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85 how many quarters are in the piggy bank in you
Lesechka [4]
The main idea here is to "translate" the words into maths. 
First we need to identify the unknowns and label these. 

We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters

Now lets write equations from the written problem. 
We know that there are 36 coind total, thus: 
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents. 
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus: 
10x+25y=585

We have two equations and two unknowns now, that needs to be solved to get the answer. 

x + y = 36
10x+25y=585


4 0
3 years ago
Read 2 more answers
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6 0
3 years ago
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Need help ASAP! Directions in picture ;)
Len [333]

Answer:

<h2>112°</h2>

Step-by-step explanation:

Angle 8 will also be 112° because both of them( Angle 2 and Angle 8) are exterior alternate angles and exterior alternate angles are always equal.

So Angle 8 = 112°

6 0
2 years ago
58,927 move to the decimal left 4 place
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5 0
3 years ago
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