Question

If two cubes of side 6 cm are joined end to end, find the total surface area ($c{m}^2$) of the resultant solid.

• A. 360

Answer 1

The correct option is A 360
Given: Side of the cubes = 6 cm

Two cubes are joined end to end. So, the resultant solid is cuboid.

Length of the cuboid = 6 + 6 = 12 cm
Breadth of the cuboid = 6 cm
Height of the cuboid = 6 cm

Total surface area of the cuboid = 2[lb + bh + hl]
Total surface area of the cuboid = $2[12\times 6+6\times 6+6\times 12$]
Total surface area of the cuboid = 2[72 + 36 + 72]
Total surface area of the cuboid = 2[144 + 36]
Total surface area of the cuboid = 2[180] = 360 cm${}^2$