A prism is completely filled with 80 cubes that have edge length of 12cm What is the volume of the prism?
1 answer:
<h3>
Answer: 138,240 cubic cm </h3>
Explanation:
If x is the side length of a cube, then x^3 is the volume. Think of it like length*width*height, but length = width = height.
It's no coincidence that the cubing operation or cubed exponent ties directly to the concept of things like volumes in cubic cm.
In this case, x = 12 cm is the side length of each small cube. The volume of each small cube is x^3 = 12^3 = 12*12*12 = 1728 cubic cm.
Eighty such small cubes get us a total volume of 80*1728 = 138,240 cubic cm.
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