Question

parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. how many such cuboids will be need to form a cube

Answer 1

dimensions are 2 x 5 x 5
there is only one 2 so to make it a cube we have to add two more 2 so 2 * 2 is required to make a cube and there are two 5 so we have to take one more 5 to make it a cube so 5 is also required to make it a cube so the answer is 2* 2 * 5 that is 4 *5 that is 20

Answer 2

Solution:

Given, side of the cube is 5 cm, 2 cm and 5 cm.

Therefore, volume of cube = 5×2×5 = 50

The prime factorisation of 50 = 2×5×5

Here, 2, 5 and 5 cannot be grouped into triples of equal factors.

Therefore, we will multiply 50 by 2×2×5 = 20 to get perfect square.

Hence, 20 cuboid is needed.