Ravi made a cuboid of plasticine of dimensions 12cm, 8cm, and 3 cm. How many minimum number of such cuboids will be needed to form a cube of side 12cm?
Answers
Answer:
x(vol of cuboid) = vol of cube
Step-by-step explanation:
x(12×8×3) = 12×12×12
x(8×3) = 12×12
x = 6
Solution :-
Ravi made a cuboid of plasticine .
Dimensions of cuboid are 12cm, 8cm and 3 cm
Therefore,
The length of the cuboid = 12 cm
The Breath of the cuboid = 8cm
The height of the cuboid = 3 cm
As we know that,
The volume of cuboid = L * B * H
Pur the required values,
Volume of cuboid = 12 * 8 * 3
Volume of cuboid = 96 * 3
Volume of cuboid = 288cm^3
Now,
We have to find the number of such cuboids that is needed to form a cube of edge 12 cm . So for that we have to find the volume of cube
As we know that,
Volume of cube = a^3
Volume of cube = 12 * 12 * 12
Volume of cube = 144 * 12
Volume of cube = 1728cm^2
Now,
Let the number of cuboids be x
Therefore,
No. of cuboids = Volume of cube / Volume of cuboid.
x = 1728 / 288
x = 6