Question

three cuboid of dimensions 5 cm into 6 cm into 7 cm 4 cm into 7 into 8 cm and 2CM 3 cm and 13 cm melted in cube .Find side of cube

Answer 1

sum of area of all the cuboid = (5×6×7)+(4×7×8)+(2×3×13). = 210+224+77
= 512
Length of the side of the cube = cube root of 512
= 8.

Answer 2

Find the volume of the 3 cuboids:

Volume = Length x Breadth x Height

Cuboid 1 : Volume = 5 x 6 x 7 = 210 cm³

Cuboid 2 : Volume = 4 x 7 x 8 = 224 cm³

Cuboid 1 : Volume = 2 x 3 x 13 = 78 cm³

Total Volume = 210 + 224 + 78 = 512 cm³

Find the length of the new cube:

Volume = side³

side³ = 512

side = ∛512

side = 8 cm

Answer: The side of the cube is 8 cm