isometric figure and its volume, math homework

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Jan 14th, 2016

Thank you for the opportunity to help you with your question!

To start out we know that the length of each side of the small cube is 1 cm.  So using that we can find the volume of the small cubes.

Volume of a cube = side ^ 3

V small cube = (1 cm )^ 3 = 1^3 cm^3

V small cube = 1 cm^3

So if the volume of each of the small cubes is equal to 1, then we want to count the number of cubes in the entire figure.

The figure is 2 cubes high, 5 long (across the front) and 4 wide (going back into the screen)

So if you think about the figure as 2 layers (because the height is 2), we can easily figure out how many cubes are in each layer.

In each layer there are 5 x 4 cubes = 20 cubes

Then we have 2 layers

Total number of cubes = 2 layers * 20 cubes = 40 cubes

And from the first part of the problem we know the volume of each cube

Total volume = 40 cubes * 1 cm^3 / cube = 40 cm^3

So the solution to this problem is 40 cm^3

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jan 14th, 2016

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jan 14th, 2016
...
Jan 14th, 2016
Jun 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer