Question

Raj makes a cuboid of plasticine. Length, breadth and height of the cuboid are 15cm,
30 cm and 15 cm respectively. How many such cuboids will he need to form a cube?

Answer 1

Answer volume of cuboid =length (L) ×breadth(B) ×height(H)

As per the question L=15 B=30 H=15 respectively

L×B×H=15×30×15=30×225=6750

Volume of cube =S^3

S^3=6750

3√6750=2×5×5×5×3×3×3

2×2 are missing so 4 cuboids are needed to make form a cube

Hope it is helpful

Answer 2

Answer:

we can form a cube having side 30 cm each.

Step-by-step explanation:

Given cuboids of dimensions 15cm, 30cm ,15cm

LCM(15, 30, 15) = 30

Since 15*2 = 30

         30*1 = 30

and  15*2  = 30  {since a cube has all the dimensions are same}

So, the number of cuboids required to form a cube = 2*1*2 = 4

So, by using 4 cuboids, we can form a cube having side 30 cm each.