Question

3) How many 3 metre cubes can be cut from a cuboid of
dimension 10 m. X 12 m. X 9 ni.
Solution Volume of cube =
3
m
(1)
Volume of cuboid =
(II)
3
m
Number of cubes = volume of cuboid - volume of cube
-----------------------------------
Give the answer fast pls​

Answer 1

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 :

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

Putting Values :

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

$\longmapsto\tt\bf{27\:{m}^{3}}$

For Cuboid :

• Length = 10 m
• Breadth = 12 m
• Height = 9 m

Using Formula :

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

Putting Values :

$\longmapsto\tt{10\times{12}\times{9}}$

$\longmapsto\tt{120\times{9}}$

$\longmapsto\tt\bf{1080\:{m}^{3}}$

Now ,

For number of cubes :

$\longmapsto\tt{\dfrac{Volume\:of\:Cuboid}{Volume\:of\:Cube}}$

$\longmapsto\tt{\cancel\dfrac{1080}{27}}$

$\longmapsto\tt\bf{40}$

___________________

• 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

___________________

Answer 2

Answer:

Given :-

Edge of cube = 3 m

Dimensions of cuboid = 10 × 12 × 9

To Find :-

No. of cubes required

Solution :-

Volume of cube = edge³

Volume of cube = (3)³

Volume of cube = 27 m³

For cuboid

Volume of cuboid = length × breadth × Height

Volume of cuboid = 10 × 12 × 9

Volume of cuboid = 1080 m³

No. of cubes = Volume of cuboid/Volume of cube

No. of cubes = 1080 m³/27 m³

No. of cubes = 1080/27

No. of cubes = 360/9

No. of cubes = 40