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Airida [17]
3 years ago
12

A cube had a volume of 1/512 cubic meter. What is the length of each side of the cube using the formula "volume=Length×Width×Hig

ht." Please explain your thinking.​
Mathematics
1 answer:
MrRa [10]3 years ago
4 0

Answer:

The length of each side of the cube is \frac{1}{8}\ m

Step-by-step explanation:

we know that

The volume of a cube is equal to

V=LWH

but remember that in a cube

Length, width and height have the same value

so

Let

b-----> the length side of the cube

L=W=H=b

substitute in the formula

V=(b)(b)(b)=b^{3}

In this problem we have

V=\frac{1}{512}\ m^{3}

substitute and solve for b

b^{3}=\frac{1}{512}

b=\sqrt[3]{\frac{1}{512}}\\ \\b=\frac{1}{8}\ m

therefore

The length of each side of the cube is \frac{1}{8}\ m

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Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4% of the total inter
noname [10]

Given

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Total interest paid was $475

Find out  he invest in each.

To proof

Let us assume that Paul invested  in an account paying 4% be = x

As given in the question

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Let us assume that Paul invested  in an account paying 5% be = 3x

Total interest paid = $475

First convert 4% in the decimal form

=\frac{4}{100}

= 0.04

First convert 5% in the decimal form

=\frac{5}{100}

= 0.05

Than the equation become in the form

0.04x + 0.05 × 3x = 475

0.04x + 0.15x = 475

0.19x = 475

x = $2500

Paul invested  in an account paying 4% be = $2500

Paul invested  in an account paying 5% be = $7500

Hence proved






5 0
3 years ago
2008 population of wyoming was counted as 532,668 people. what is a reasonable estimate of the population of wyoming?
Snezhnost [94]
The smaller is the rounding factor, the more accurate the estimation is

532668 rounded to the nearest ten is 532670
532668 rounded to the nearest hundred is 532700
532668 rounded to the nearest thousand is 533000
532668 rounded to the nearest ten thousand is 530000
532668 rounded to the nearest hundred thousand is 500000

We can use either 532700 or 533000 as a reasonable estimate because these values don't give much difference to the original value
8 0
3 years ago
The area of a room is 600 square feet. The length is (x+2) feet and the width is (x+3) feet. Find the dimensions of the room
m_a_m_a [10]
Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
Multiply the dimensions.
X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600.
Subtract 600 to get the following:
X^2 + 5x - 594 = 0
Factor by x:
(X - 22)(x + 27) = 0
Solve for x
X - 22 = 0
X = 22.
Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
(22+ 2) or 24 for length and (22+3) or 25 for width.
6 0
3 years ago
What is 3<br> /6converted to a decimal
drek231 [11]

Answer:

3/6 converted to a decimal would be 0.5

Step-by-step explanation:

Hope this helps. :)

5 0
3 years ago
How come eleven times eleven equal 121
sasho [114]
Try adding 11, 11 times. It is a long process, but it should give you what you are looking for. First. to break it down add 10 eleven time, then after you get 110 add the remaining 11.
8 0
3 years ago
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