Question

sonia made a cuboid of sides 5 CM 6 CM and 4 CM. how many such cuboids will she need to make a cube.
it's ans - 225
please clear in explanation by step by step. in easy way ​

Answer 1

Answer:

225

hope u like the explanation

Step-by-step explanation:

sides of cuboid = 5 cm, 6 cm, and 4 cm

volume of cuboid = length×breadth×height

= ( 5×6×4) cm^3

= 120 cm^3

Prime factorisation of 120 = 2×2×2×3×5

As, 3 and 5 do not have triplets, so (3×3×5×5)=225 must be multiplied to 120 to make it a perfect cube.

So, the number of required cuboids to make a cube are 225 cuboids.

note : this was the easiest, clear and understandable explanation for an 8 th class student because i have seen this type of question in class 8th maths ncert book.....like please