Answer:
The volume is
[tex]24000 {mm}^{3} [/tex]
Step-by-step explanation:
The formula to find the volume of a rectangle is
[tex]volume = length \times height \times width[/tex]
By looking at the shape that was given we can see that is is made up of two rectangles. In order to find the volume we have to first find the length, height, and width of both of these rectangles and then add them together.
First we must note that the opposite sides of a rectangle are always equal; hence the first rectangle (the one that is lying side ways) would have a width of 10mm, a length of 60mm, and a height of 20mm. The 60mm and the 10mm can easily be seen however to find the 20mm (the height) we have to subtract 40 from 60. The 60 is the total height of the tallest rectangle hence to find the height of the small rectangle we must subtract the 40mm from the 60mm which is 20mm. 60 x 10 x 20 = 12,000
For the second rectangle (the one that is standing upright) we have to do the same and find the length, width and height. The height is 60mm, the width is 20mm and the length is 10mm. 60 x 10 x 20 =12,000
Therefore the volume is 24,000 mm^3
