Question

If the lateral surface areaof a cube is 784 cm2and surface area of cube is equal to surface area of cuboid, then find the surface area of cuboid.

Answer 1

Step-by-step explanation:

Given:

Volume of cube = 2744 cm3

Formula used:

Volume of cube = (Side of cube)3

Lateral surface area of cube = 4 × (Side of cube)2

Calculations:

Let the side of the cube be a

Volume of cube = a3

⇒ a3 = 2744

⇒ a = 14 cm

Putting the value of a,

Lateral surface area = 4 × (14)2

⇒ 4 × 196

⇒ 784 cm2

∴ The lateral surface area of the cube is 784 cm2

Answer 2

Answer:1176 cm²

Step-by-step explanation:

Given,

Lateral surface area of cube= 784 cm^2

i.e. 4a²=784

a²=196  ⇒ a=14

also given,

surface area of cuboid= surface area of cube

surface area of cuboid= 6a²

                                      =6×196

                                       =1176cm²