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The easiest way to find the volume of a cube is to find the length of its edge
and 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, then
the area of each face is 16 square units.
-- Each face is a square. If the area of the square is 16 square units, then
the 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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What is the surface area of a cube whose volume is 216?
Cube root of 216 = 6 units Therefore each face is 6*6 units which = 36 square units A cube has 6 faces, so 6*36 = 216 square units which is the surface area of the cube.
What is a A sphere whose volume in cubic centimeters is 400?
A sphere with this volume has a diameter of 9.1416 cm, a surface area of 262.54 square cm and a circumference of 28.719 cm.
What is the area of a square whose perimeter is 224?
3,136 square units
What is the volume of a cube whose total surface area is 150 square feet?
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= 6a2Thus:a2= SA/6 = 150/6 = 25anda = 5 cmThe volume of the cube is:V= a3V = 53V = 125 cm3
What is the length of a side of a cube whose volume is 512?
The edge length is: 8 units.
