Question

In a maths lab there are some cubes and cubiods of the following measurements:
1 one cube of side 4cm
2 one cube of side 6cm
3 three cuboids each of dimensions 4cm ×4 cm ×6 cm and cuboids each of dimensions 4cm×6cm×6cm.
A student wants to arrange these cubes and cuboids in the form of a big cube

Answer 1

Answer:

Yes possible

Length of side of new cube = 10 cm

Step-by-step explanation:

Yes, it is possible.

We know that

(a + b)³ = a³+ 3a²b + 3ab² + b³

⇒ (4 + 6)³ = 4³ + 3 × 4²× 6 + 3 × 4 × 6²+ 6³

⇒ (10)³ = (4)³ + 3*( 4 × 4× 6 )+ 3*( 4 × 6 × 6) + (6)³

So Length of side of new cube = 10 cm