A cuboid is 6 cm long- 5 cm broad and 4 cm high and a cube has an edge of 5 cm- Which one has greater volume-A- both are equalB- CubeC- CuboidD- Can-t be determined

The correct option is B CubeVolume of cuboid = length×breadth×height = 6 cm× 5 cm× 4 cm = 120 cm^3 Volume of cube nbsp; = side×side×side = 5 cm× 5 cm× 5 cm= ...

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Standard V

Mathematics

Volume of Cube and Cuboid.

A cuboid is 6...

Question

A cuboid is 6 cm long, 5 cm broad and 4 cm high and a cube has an edge of 5 cm. Which one has greater volume?

Cube

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Cuboid

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both are equal

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Can't be determined

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Solution

The correct option is A Cube
Volume of cuboid
$= length \times breadth \times height$
$= 6 c m \times 5 c m \times 4 c m = 120 {c m}^{3}$

Volume of cube
$= side \times side \times side$
$= 5 c m \times 5 c m \times 5 c m = 125 {c m}^{3}$

$\Rightarrow$ Volume of cube > Volume of cuboid

$∴$ cube has greater volume.

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A cuboid is 6 cm long, 5 cm broad and 4 cm high and a cube has an edge of 5 cm. Which one has greater volume?

The correct option is A CubeVolume of cuboid =length×breadth×height =6 cm×5 cm×4 cm=120 cm3 Volume of cube =side×side×side =5 cm×5 cm×5 cm=125 cm3 ⇒Volume of cube > Volume of cuboid ∴ cube has greater volume.