Question

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

Answer 1

Answer:

Volume of cube = side×side×side

=6×6×6= 216 cubic cm

Volume of Cuboid =length×breadth ×height

=10×7×2.5=175 cubic cm

So, volume of cube > volume of cuboid

Hence the answer is Cube

Answer 2

Given :

• A cuboid is 6 cm long, 6 cm wide and 4 cm high .
• Edge of cube is 6 cm .

To Find :

• Greater volume .

Solution :

Firstly we'll find the Volume of Cuboid :

$\longmapsto\tt{Length\:(l)=6\:cm}$

$\longmapsto\tt{Breadth\:(b)=6\:cm}$

$\longmapsto\tt{Height\:(h)=4\:cm}$

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cube=l\times{b}\times{h}}$

Putting Values :

$\longmapsto\tt{6\times{6}\times{4}}$

$\longmapsto\tt{36\times{4}}$

$\longmapsto\tt\bf{144{cm}^{3}}$

Now ,

For Volume of Cube :

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cube={a}^{3}}$

Putting Values :

$\longmapsto\tt{{6}^{3}}$

$\longmapsto\tt\bf{216{cm}^{3}}$

So , The Volume of Cube is greater than the Volume of Cuboid .