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Georgia [21]
3 years ago
13

6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect

angular prisms.--LONG DESCRIPTION--The top part is 6 inches tall, 5 inches wide and 10 inches long. The bottom part is 6 inches tall, 9 inches wide and 10 inches long.
Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

<u>For top part</u>

Length = 10 inches

Width = 5 inches

Height = 6 inches

<u><em>As we know:</em></u>

<u><em /></u>Volume\ of\ rectangular\ prism =length\times width\times height

                                                 =10\times5\times6=300\ cubic\ inches

<u>For bottom part</u>

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

Volume\ of\ rectangular\ prism =length\times width\times height

                                                 =10\times9\times6=540\ cubic\ inches

Volume of two steps = 300 + 540 = 840 cubic inches

<em>Therefore, the volume of the steps are 840 cubic inches.</em>

<em></em>

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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:

  • brainly.com/question/6443737
  • brainly.com/question/12497249
  • brainly.com/question/12613605

#learnwithBrainly

6 0
3 years ago
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