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What is the volume of a cube whose total surface area is 150 square feet?
Wiki User
∙ 11y ago
Example 6:
A cube has a surface area of 150. What is the volume of the cube?
Solution
:
The surface area of the cube is:
SA
= 6a
2
Thus:
a
2
= SA/6 = 150/6 = 25
and
a = 5 cm
The volume of the cube is:
V
= a
3
V = 5
3
V = 125 cm
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Wiki User
∙ 11y ago
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What is the volume of a cube whose surface area is 96 square units?
The easiest way to find the volume of a cube is to find the length of its edgeand then cube that number.Here's how to find the length of the edge from the total surface area:-- A cube has 6 faces. If its total surface area is 96 square units, thenthe area of each face is 16 square units.-- Each face is a square. If the area of the square is 16 square units, thenthe side of the square is 4 units.But the side of the square face is the same as the edge of the cube !-- The volume of the cube is (4 x 4 x 4) = 64 cubic units.
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