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?
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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?
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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
Verified answer
Given :
To Find :
Solution :
Firstly we'll find the Volume of Cuboid :
[tex]\longmapsto\tt{Length\:(l)=6\:cm}[/tex]
[tex]\longmapsto\tt{Breadth\:(b)=6\:cm}[/tex]
[tex]\longmapsto\tt{Height\:(h)=4\:cm}[/tex]
Using Formula :
[tex]\longmapsto\tt\boxed{Volume\:of\:Cube=l\times{b}\times{h}}[/tex]
Putting Values :
[tex]\longmapsto\tt{6\times{6}\times{4}}[/tex]
[tex]\longmapsto\tt{36\times{4}}[/tex]
[tex]\longmapsto\tt\bf{144{cm}^{3}}[/tex]
Now ,
For Volume of Cube :
Using Formula :
[tex]\longmapsto\tt\boxed{Volume\:of\:Cube={a}^{3}}[/tex]
Putting Values :
[tex]\longmapsto\tt{{6}^{3}}[/tex]
[tex]\longmapsto\tt\bf{216{cm}^{3}}[/tex]
So , The Volume of Cube is greater than the Volume of Cuboid .