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A farmer is building a grain silo storage. He estimates that will need 256 cubic yards of storage. The grain silo will be shaped as a cube. How long should one side of grain silo be?
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Mar 19, 2018
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A farmer is building a grain silo storage. He estimates that will need 256 cubic yards of storage. The grain silo will be shaped as a cube. How long should one side of grain silo be?
Mathematics
high-school
Genpfault
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When we refer to cube, this means than all sides have the same measures because its faces are square in shape.
Since area of a square is equal to the square of its sides, the volume of the cube it creates is equal to the cube of its sides.
Regular volume = length * width * height
Volume of a cube = side * side * side = (side)³
Given: Volume = 256 cubic yards.
We just need to get the cube root of the volume.
side = ∛256
Get the factors of 256 that has a whole number as its cube root and get the cube root.
side = ∛(8 * 32)
side = ∛8 * ∛32
side = 2 * ∛(8 * 4)
side = 2 * ∛8 * ∛4
side = 2 * 2 * ∛4
side = 4 ∛4
Each side of the cube will measure 4 ∛4 yards or 6.35 yards.
To check:
(4 ∛4)³ → 4³ * (∛4)³ → 64 * 4 = 256
6.35³ = 256.05
Siu
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Mar 22, 2018
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Siu
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Having the length of a side(noticed with l), the volume of the cube is equal to:
V = l*l*l
V=l^3
To find the numeric value of l: l =
In our problem V =
256
l =
Daniel Cho
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Mar 25, 2018
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Daniel Cho
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