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3 years ago

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Mathematics

1 answer:

Bond [772]3 years ago

5 0

Answer:

Step-by-step explanation:

608 square inches

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

Maria's account has a credit of $ 13, and Harry's account has a debit of $ 14. Which of the following statements are true? Selec

soldi70 [24.7K]

Answer:

A, Harry has $27 more.

Step-by-step explanation:

I could be wrong but.

1) debit cards are of your money, if you have $14 in your account it means you have $14 that you can spend without owing anything.

2) credit cards allow you to borrow money with the expectation that you pay it back. So if you have $13 of credit, you owe $13 which I guess could be seen as -$13.

3) the distance between -13 and 14 is 27.

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4 years ago

I NEED HELP FAST <br> PLEASEEEEEEE

dedylja [7]

Answer: D

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the greatest common divisor (GCD) of 34255 and 203515.

seropon [69]

34255 = 5 * 13 * 17 * 31
203515 = 5 * 13 * 31 * 101

So GCD(34255, 203515) = 5 * 13 * 31 = 2015

4 0

3 years ago

Find the equation of a line with each of the following characteristics.

Afina-wow [57]

Answer:

y=3x-1

Step-by-step explanation:

In parallel lines, the slope stays the same and the y-intercept changes. Hope this helps and I'm always here if you need me!

3 0

4 years ago