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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Solution:
Volume is defined as a capacity occupied by a three-dimensional solid shape.
It is hard to visualize the volume of any solid shape but we can definitely compare the volume of those respective shapes.
As given in the problem statement the volume
V = s3----- (1)
And
s = 4x2 + 3--------(2)
Hence,
the volume is obtained by substituting (2) in (1).
We get,
V = (4x2 + 3)3
= 64 x6 + 144x4 + 108x2 + 27
Therefore,
the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Summary:
The volume of the cube is 64 x6 + 144x4 + 108x2 + 27.
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