Volume of a cube
Volume of a cube
Volume: The volume of an object is the measure of the space it occupies.
Volume of Cube: We know that a cube is a special type of a cuboid whose length,breadth and height are all equal. So, the volume V of a cube of edge l is given by
Illustration: The volume of a cube is .Find its total surface area.
Solution: Let the length of each edge of the cube be "a" cm.
Then,
Hence, side of cube = 10cm
as we know that, surface area of cube
Hence, surface area of cube
Illustration: A solid cube of side 12 cm is cut into 8 cubes of equal volume. What will be the side of the new cube?
Solution: Let the length of the side of new cube be x cm. Then,
Volume of 8 cubes each of side x cm = Volume of solid cube of side 12 cm
As we know that volume of cube =
So, we have
Hence side of the new cube is 6 cm.
If the volume of a cubical box is 343cm cube, its edge is ___________________ | |||
| Right Option : D | |||
| View Explanation | |||
A rectangular cubical piece of metal of dimensions 2 cm x 3 cm x 4 cm is melted. Some more of the metal is added and it is made into a cube. The cube has integral measures for its sides. What is the minimum amount of metal that is added and what is the side of this cube ? | |||
| Right Option : B | |||
| View Explanation | |||
The surface area of a cube is 1176 | |||
| Right Option : C | |||
| View Explanation | |||
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