Question

It was found that a cube can be cut into certain number of identical cuboids each measuring 1 cm * 2cm *5 cm. How many such cuboids can be formed from such a cube?

Answer 1

100 such cuboids could be made by a perfect cube of 10*10cm

Answer 2

CONCEPT:

Cuboid is a 3D solid shape with six rectangular surfaces .

cube is a solid shape that has six equal square sides

GIVEN:

a large cube is cut into certain cuboids

the dimensions of cuboid are given (1*3*5)

FIND:

find how many cuboids can be formed from that cube.

SOLUTION:

The cuboid has a volume of 10 cubic units. We must find a cube whose volume is a multiple of ten cubic units. Once we've found such a cube, we must ensure that it can be cut into an integer number of cuboids with the given dimensions.

The first such cubic number is 1000, which has ten sides.

Conveniently, 10 cuboids can be crammed into a one-unit slice of the cube. We can clearly cut 100 identical cuboids from a cube with side length 10 if we can make 10 such slices.

So we can make 100 cuboids from such a cube.

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