Question

26<br />2. In a Maths lab there are some cubes and cuboids of the following<br />(1) one cube of side 4 cm bu<br />(in) one cube of side 6 cm<br /><br />4 cm x 6 cm x 6 cm./>length of side of new cube so 3 cuboids each of dimensions 4 cm x 4 cm x 6 cm and 3 cuboids each of dimensions<br />A student wants to arrange these cubes and cuboids in the form of a big cube. Is it<br />possible for him/her to arrange them in the form of a big cube? If yes, then find the​

Answer 1

Answer:

please tell what we have to find

Step-by-step explanation:

BTW PLEASE MARK AS BRAINLIEST PLEASE

Answer 2

$\huge{\mathfrak{\underline{\red{Answer!}}}}$

Yes possible

Length of side of new cube = 10 cm

Question is:

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 3 cuboids each of dimensions 4cm×6cm×6cm.

A student wants to arrange these cubes and cuboids in the form of a big cube

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

⇒ (10³ = (4)³ + 3*( 4 × 4× 6 )+ 3*( 4 × 6 × 6) + (6)³

∴ Length of side of new cube = 10 cm