Math, asked by harshitraj4471913, 1 month ago

How many 3 metre cubes can be cut from a cuboid of
dimension 10 m. X 12 m. X 9 ni.
3
Solution Volume of cube =
(1)
3
Volume of cuboid = m
(II)
Number of cubes = volume of cuboid – volume of cube
m
D​

Answers

Answered by sunnymahajan0446307
1

Answer:

Given :

Side of Cube = 3 m .

Length , Breadth and Height of a Cuboid are 10 m , 12 m and 9 m respectively .

To Find :

Cubes that can be cut from the cuboid .

Solution :

Firstly we'll find the Volume of Cube :

Using Formula :

\longmapsto\tt\boxed{Volume\:of\:Cube={a}^{3}}⟼VolumeofCube=a3

Putting Values :

\longmapsto\tt{{3}^{3}}⟼33

\longmapsto\tt\bf{27\:{m}^{3}}⟼27m3

For Cuboid :

Length = 10 m

Breadth = 12 m

Height = 9 m

Using Formula :

\longmapsto\tt\boxed{Volume\:of\:Cuboid=l\times{b}\times{h}}⟼VolumeofCuboid=l×b×h

Putting Values :

\longmapsto\tt{10\times{12}\times{9}}⟼10×12×9

\longmapsto\tt{120\times{9}}⟼120×9

\longmapsto\tt\bf{1080\:{m}^{3}}⟼1080m3

Now ,

For number of cubes :

\longmapsto\tt{\dfrac{Volume\:of\:Cuboid}{Volume\:of\:Cube}}⟼VolumeofCubeVolumeofCuboid

\longmapsto\tt{\cancel\dfrac{1080}{27}}⟼271080

\longmapsto\tt\bf{40}⟼40

___________________

L.S.A of Cuboid = 2h(l+b)

Surface Area of Cuboid = 2(lb+bh+hl)

Volume of Cuboid = l×b×h

L.S.A of Cube = 4a² ( a = side of cube)

T.S.A of Cube = 6a²

Volume of Cube = a³

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