# If a cuboid of dimensions 32 cm × 12 cm × 9 cm is melted into two cube

| If a cuboid of dimensions 32 cm × 12 cm × 9 cm is melted into two cubes of same size, what will be the ratio of the surface area of the cuboid to the total surface area of the two cubes?

A. 37 : 48

B. 32 : 39

C. 65 : 72

D. 24 : 35

### Right Answer is: C

#### SOLUTION

When the cuboid is melted and recreated into two cubes,

Then, Volume of cuboid = 2 × Volume of cubes

2 × a^{3} = 32 × 12 × 9

a^{3} = 16 × 12 × 9

a^{3} = 1728

a = 12 cm

Required ratio –

= 65 : 72

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