What will be the Difference between the Surface Area of Two Solids? If
Answer: 286 cm2
The length, width and thick of a metal sheet = 27 cm, 8 cm, 1 cm.
The surface area of a the metal sheet = 2 ( l x b + b x h + h x l )
Where, l = length, b = width & h = height.
Then, the surface area of of the metal sheet = = 2 (27 x 8 + 8 x 1 + 1 x 27)
= 2 (216 + 8 + 27)
= 2 x 251
= 502 cm square
The volume of the metal sheet = the volume of the cube (Given in the question)
The volume of the metal sheet = l x b x h
Where, l = length , b = breadth & h = height
Then, the volume of the metal sheet = 27 x 8 x 1
= 216 cm cube = Volume of the cube
Therefore, the side of a cube = cube root of 216
= 6 cm
The surface area of a cube =6 a2
Then, the surface area of cube = 6 (6)^2
= 6 x 36
= 216 cm square
The difference between the surface area of the two solids = 502 – 216
= 286 cm square
Hence, the answer is (3) 286 cm square.