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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

What is the smallest subset that 46 belongs to

xeze [42]

Answer:

Natural/Counting Numbers

Step-by-step explanation:

It is the smallest subset a number can classify into. It is all of the numbers from 1 to positive infinity.

7 0

3 years ago

Find each product. Simplify if possible 2/3 x 5/6 x 14=

Ksenya-84 [330]

The product of the probllem is 21

7 0

4 years ago

Please help me and include step by step!!!<br> (x+9)(x-9) Polynomial identities

WITCHER [35]

Answer:

The given expression is simplified as $(x + 9)(x -9) = x^{2} - 81$

Step-by-step explanation:

Here,the given expression is (x+9)(x -9)

Using the ALGEBRAIC IDENTITY:

$(a +b)(a -b) = a^2 - b^2$

Now, here in the given expression (x + 9)(x -9)

Comparing it the left side of the identity,

we get a = x

and b = 9

The right side of the equation is $a^{2} - b^{2}$

Substituting the value of a and b, we get

⇒ $(x + 9)(x -9) = (x)^{2} - (9)^{2}$

= $x^{2} - 81$

Hence, the given expression is simplified as $(x + 9)(x -9) = x^{2} - 81$

4 0

3 years ago

Pls help me ASAP pls

frez [133]

Answer:

$y = \sqrt[5]{50}$

Step-by-step explanation:

$25 + 25 = {y}^{5}$

${y}^{5} = 25 + 25$

${y}^{5} = 50$

Take the 5th root of both sides of the equation to eliminate the exponent on the left side.

$y = \sqrt[5]{50}$

<h3>Hope it is helpful.....</h3>

4 0

3 years ago