Five solid cubes, each of volume 216 cm³, are joined end to end in a linear manner only (single row arrangement) to form a cuboid. What is the lateral surface area (in cm²) of the cuboid?

Correct option is B

Given:

Five solid cubes are joined to form a cuboid

Volume of each cube =$$216cm^3$$​​

Formula Used:

Volume of cube =$$a^3$$​​

Where a is side of cube

Lateral surface area of cuboid = 2h(l+b)

Where l,b and h are length , breadth and height of the cuboid

Solution:

If the volume of cube is $$216cm^3$$​​

Then side of cube a=$$\sqrt[3]{216}$$​ = 6cm

If 5 cubes are joined in linear way then:

Length of cuboid will be $$6 \times 5$$​= 30cm

Breadth = 6 cm

Height = 6 cm

Then lateral surface area  = $$2(6)(30+6) = 432cm^2$$​​