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3 years ago

A rectangular prism has a length of 6cm width of 3cm and a height of 4 1/2 cm.

Mathematics

2 answers:

lapo4ka [179]3 years ago

6 0

I guess it's 40.5 hope soo

balu736 [363]3 years ago

6 0

Answer:

To fill the rectangular prism, 648 cubes are needed.

Step-by-step explanation:

It is given that a rectangular prism has a length of 6 cm width of 3 cm and a height of 4 1/2 cm.

The volume of a rectangular prism is

$V=length\times breadth \times height$

$V_1=6\times 3 \times 4\frac{1}{2}$

$V_1=18 \times \frac{9}{2}$

$V_1=81$

The volume of rectangular prism is 81 cm³.

The volume of a cube is

$V=a^3$

Where a is the side length.

The volume of a cube with edge 1/2.

$V_2=(\frac{1}{2})^3$

$V_2=0.125$

To fill the rectangular prism, the required number of cubes is

$n=\frac{V_1}{V_2}$

$n=\frac{81}{0.125}$

$n=648$

Therefore, to fill the rectangular prism, 648 cubes are needed.

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HELP ASAP PLZ THNZS!!! ( There r 2 questions)

forsale [732]

Answer:

Step-by-step explanation:

1. Answer below

$2x = \sqrt[3]{125}$

$2x = 5$

$x = \frac{5}{2}$

$x = 2.5$

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$x + 3^{2} = \sqrt[3]{27}$

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$x = -6$

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3 years ago

a normal distribution has a mean of 10 and a standard deviation of 1 what is the probability of selecting a number between 8 and

rusak2 [61]

Answer:

0.815

Step-by-step explanation:

First, find the z-scores.

z = (x − μ) / σ

z₁ = (8 − 10) / 1

z₁ = -2

z₂ = (11 − 10) / 1

z₂ = 1

P(-2 < Z < 1) = P(Z < 1) − P(Z < -2)

Use a chart, calculator, or the empirical rule to find the probability.

Using the empirical rule:

P(-2 < Z < 1) = 0.84 − 0.025

P(-2 < Z < 1) = 0.815

Using a chart:

P(-2 < Z < 1) = 0.8413 − 0.0228

P(-2 < Z < 1) = 0.8185

5 0

3 years ago

A leaky water faucet loses 0.25 liter of water

Viefleur [7K]

Answer:

3 liters.

Step-by-step explanation:

You can write the problem as an equation.

f(x)=0.125x

Where x is the number of hours. The 0.125 is how many liters the faucet loses in 1 hour. Then, just plug in 24.

0.125*24=3

5 0

3 years ago

Jimmy was supposed to multiply a certain number by 43 but by mistake he multiplied that number by 34 as a result his answer was

vredina [299]

Answer:

345

Step-by-step explanation:

We can solve this problem by two equations. Our variables will be the following:

$x$ is the amount to be multiplied

and $y$ is the amount that should be obtained by multiplying by 43

Thus our first equation is:

$43x=y$

But the problem tells us that there was an error and the number $x$ was multiplied by 34, so the result failed by 3105, thus the second equation is as follows:

$34x=y-3105$

By multiplying the quantity by 34, an amount is obtained that differs from 3105 from what it would have been obtained if multiplied by 43.

Now we are going to replace the first equation in the second one ( $y=43x$ ):

$34x=43x-3105$

And clear to find x:

$3105=43x-34x\\3105=9x\\\frac{3105}{9}=x\\345=x$

The number that jimmy was supposed to multiply by 43 is 345.

6 0

3 years ago

234 chocolates are to be packed into boxes Each of which will contain 11 chocolates. How many boxes of chocolates will there be?

vazorg [7]

Hello!

Divide the total amount of chocolates by the number of chcolates each box will contain.

234 ÷ 11 = 21.2727272727

It is a repeating decimal. Now, obviously there won't be 21.2727272727 boxes chcolates.

11 × 21 = 231

11 × 22 = 242

If you multiply 11 by 21, you get 231 -- which is 3 less than the total amount of chocolates. But if you multiply it by 22, you get a number that is greater than 234, so it is not possible.

ANSWER:

There will be 21 boxes of chocolates, and 3 left over.

7 0

2 years ago