Fruit ninja
Algebra
Level
2
You have a rectangular prism of jello with VOLUME V. When you cut the jello into small cubes all the same size, they are spread out 1 layer thick with no spaces so that they fill a flat rectangular tray of AREA A. Find the number of jello cubes created in terms of V and A.
A^2/V^3
A^3/V^2
V^2/A^3
V^3/A^2
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1 solution
Let there be n small cubes of side 'x'
Volume of each cube=x³
Total volume occupied by cubes=nx³=Ax=V
x²=A/n
And, x²=(V/A)²
Which gives, n=A³/V²