Simplify the expression. <br><br> 5(x - z) + 4(y

Find the volume of the cubes or rectangular prisms in cubic centimeters.

DanielleElmas [232]

a) Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

b) Volume of cube is $\frac{8}{125}\,\,cm^3$

c) Volume of cube is $\frac{1}{125}\,\,cm^3$

d) Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= $\frac{3}{5}\,\,cm$

width= $\frac{4}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

Part b)

Volume of cube with side length of $\frac{2}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3$

So, Volume of cube is $\frac{8}{125}\,\,cm^3$

Part c)

Volume of cube with side length of $\frac{1}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3$

So, Volume of cube is $\frac{1}{125}\,\,cm^3$

Part d)

Volume of rectangular prism with

length= $\frac{1}{5}\,\,cm$

width= $\frac{2}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Keywords: Volume

Learn more about Volume at:

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6 0

3 years ago

Westley and Buttercup are each saving money. Westley starts with $85 in in his savings and add $5 per week (y=85+5x)

love history [14]

Answer:

After 5 weeks.

Step-by-step explanation:

Westley starts with $85 and saves $5 per week. So:

$y=85+5x$

Buttercup starts with $10 and saves $20 per week. So:

$y=10+20x$

When they have the same amount of money, the two equations will be equal to each other. Therefore:

$85+5x=10+20x$

Solve for x. Subtract 10 from both sides:

$75+5x=20x$

Subtract 5x from both sides:

$75=15x$

Divide both sides by 15:

$x=5$

Westley and Buttercup will have the same amount of money after 5 weeks.

5 0

2 years ago

7. Rose can type 70 words per minute (wpm). At this rate, how many words can she type in 30 minutes? a. 3100 wpm b. 40 wpm c. 21

Irina-Kira [14]

Answer:

a. 3100 wpm

$1 \: minute = 70 \: words \\ 30 \: minutes = (30 \times 70) \: words \\ = 2100 \: words$

3 0

3 years ago

In the following diagram which segments are radii of circle p

lapo4ka [179]

Answer:

The correct answers would be A,C,D

Step-by-step explanation:

5 0

3 years ago

A chicken Tender side dish costs 5.99 and it is 3 oz what is the unit rate?

Blababa [14]

$5.99 divided by 3 for the cost of each ounce is $2 rounded.

4 0

3 years ago

Read 2 more answers

Simplify the expression. 5(x - z) + 4(y - x)