Answer:
9840
Step-by-step explanation:
Cubic centimeters used in final wood sculpture = volume of rectangular prism minus volume of triangular prism
To find the volume of a rectangular prism simply multiply the width by the length by the height
The rectangular prism has a given width of 20cm, a given height of 30cm and a given length of 20cm
So volume of rectangular prism = 20 * 20 * 30 = 12,000
Now let's find the volume of the triangular prism she cut out.
To find the volume of a triangular prism we can use this formula
V = bh/2 * l
Where b = base length, h = height of base and l = length of prism
The triangular prism has a given base length of 12cm a given height of 12cm and a given length of 30cm ( we can tell by looking at the image the length of the triangular prism is the same as the height of the rectangular prism.)
We then plug in these dimensions into the formula
V = (12*12)/2 * 30
12 x 12 = 144
144/2 = 72
72 * 30 = 2160
Finally we subtract the volumes
12,000 - 2160 = 9840
We can conclude that the volume of the final sculpture is 9840 cubic centimeters
