Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.

Open in App

Solution

Let,

Sides of the three small cubes

Volumes of the three small cubes

Side of the new cube formed

Volume of the new cube formed

Surface area of the new cube formed

Diagonal of the new cube formed

We have,

We need to find the volume, surface area and diagonal of the new cube

Now,

We know,

So, the volume, surface area and the diagonal of the new cube will be respectively.

Suggest Corrections

Similar questions

6 c m, 8 c m

10 c m

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. Find the edge of the new cube formed.

15 c m, .12 c m

9 c m

Three cubes of metal with edges 3 cm 4 cm and 5 cm respectively are melted to form a single cube find the lateral surface area of the new cube formed

Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is

(a) 12 cm

(b) 14 cm

(d) 18 cm

Join BYJU'S Learning Program