Question

Three cubes each of side 5 cm are joined end to end to form a cuboid. Find the surface area of the resulting cuboid.

Answer 1

Length of each side of cube = 5cm

According to question,

Three cubes are joined end to end to form a cuboid

So, the length of the resulting cuboid = 5 + 5 + 5 = 15cm

But, the breadth and height will remain the same

So, Breadth = 5cm

and height = 5cm

Surface Area of the Cuboid

= 2(Length × Breadth + Breadth × Height + Height × Length)

= 2(lb + bh + hl)

= 2(15×5 + 5×5 + 5×15)

= 2(75 + 25 + 75)

= 2(175)

= 350cm²

Hence, the surface area of cuboid is 350cm².