Question

three metallic cubes with edge 6 CM 8 cm and 10 cm respectively are melted together are formed into a single new cube find the volume and surface area of the cube thus formed

Answer 1

formula is volume of 1,2,3 cube =6*6*6+8*8*8+10*10*10=216 +512+1000=1728

Answer 2

Volume of the cube with edge 6 cm:

Volume = Length³

Volume = 6³ = 216 cm³

Volume of the cube with edge 8 cm:

Volume = Length³

Volume = 8³ = 512 cm³

Volume of the cube with edge 10 cm:

Volume = Length³

Volume = 10³ = 1000 cm³

Find the total volume:

Total volume = 216 + 512 + 1000 = 1728 cm³

Find the length of the new cube:

Volume = Length³

Length³ = 1728

Length = ∛1728

Length = 12 cm

Find the surface area:

1 face = 12 x 12 = 144

6 faces = 144 x 6 = 864 cm²

Answer: The volume is  1728 cm³ and the total surface area is 864 cm²