A solid metallic cube of edge $4 c m$ is melted and recast into solid cubes of edge $1 c m$ . If $x$ is the surface area of the melted cube and $y$ is the total surface area of all the cubes recast, then what is $x : y$ ?

2 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $1 : 4$
Vol. of cube $= \cap$ (Vol. of small cubes)
$\Rightarrow u^{3} = \cap (1^{3}) \Rightarrow \cap = 64$
S.A of cube : S.A. of small cubes
$\Rightarrow 6 (4^{2}) : 6 (1^{2}) \times 64$
$\Rightarrow 1 : 4$

Suggest Corrections

Similar questions

Q. A solid cube of edge 28 cm is melted down and recasted into smaller cubes of edge length 4 cm. Find the number of smaller cubes obtained.

A solid metallic cuboid of dimensions $9 m \times 8 m \times 2$ m is melted and recast into solid cubes of edge 2m. Find the number of cubes so formed.

Q. A solid cube of edge 14 cm is melted down and recast into smaller and equal cubes each of edge 2 cm, then the number of smaller cubes obtained is 343.

Q. Three metallic cubes of side

3 c m, 4 c m

and

5 c m

respectively are melted and are recast into a single cube. Find the total surface area of the new cube.

Q. A solid metallic cuboid of dimensions 9 m × 8 m × 2 m is melted and recast into solid cubes of edge 2 m. Find the number of cubes so formed. [CBSE 2017]

Join BYJU'S Learning Program

A solid metallic cube of edge 4 cm is melted and recast into solid cubes of edge 1 cm. If x is the surface area of the melted cube and y is the total surface area of all the cubes recast, then what is x:y?

The correct option is C 1:4Vol. of cube =∩ (Vol. of small cubes)⇒u3=∩(13)⇒∩=64S.A of cube : S.A. of small cubes⇒6(42):6(12)×64⇒1:4

A solid metallic cube of edge $4 c m$ is melted and recast into solid cubes of edge $1 c m$ . If $x$ is the surface area of the melted cube and $y$ is the total surface area of all the cubes recast, then what is $x : y$ ?

The correct option is C $1 : 4$
Vol. of cube $= \cap$ (Vol. of small cubes)
$\Rightarrow u^{3} = \cap (1^{3}) \Rightarrow \cap = 64$
S.A of cube : S.A. of small cubes
$\Rightarrow 6 (4^{2}) : 6 (1^{2}) \times 64$
$\Rightarrow 1 : 4$