Question

Rahul makes a cuboid of plasticine of sides 3cm × 3cm × 5cm. How many such cuboids will he need to form a cube ?​

Answer 1

Answer:

75 cuboids

Step-by-step explanation:

The given sides are 3cm, 3cm and 5cm

Here we need to find the smallest cube which is possible to make out of those many numbers of cuboids so we must find the LCM

We are finding the LCM because we need the least possible side for the cube

LCM = 3 × 5 = 15cm

So the smallest possible cube to make from this cuboid will have a side of 15cm and that is the least possible value

Now when we multiply the number of cuboids with the cuboid to get a cube the volume is the only factor which is common

so, volume of cube divided by the volume of the cuboid will give us the number of cuboids

volume of cube = 15 × 15 × 15 = 3375cm³

volume of cuboid = 3 × 3 × 5 = 45cm³

number of cuboids = 3375÷45=75

Therefore we need 75 such cuboids to make the smallest cube possible