The area of a rectangle is equal to the total surface area of a cube. If the breadth of the rectangle is 36 cm and the side of the cube is 1/3rd of the length of the rectangle, then find the length of the rectangle.

Correct option is B

Information Given:
The area of a rectangle is equal to the total surface area of a cube.
The breadth of the rectangle is 36 cm.
The side of the cube is 1/3rd of the length of the rectangle.
Formulas Used:
Area of rectangle = Length × Breadth
Total surface area of cube = 6 side²
Basic Explanation:
Let the length of the rectangle be 3a cm
And the side of the cube = a cm
Area of rectangle = 36×3a = 108a cm²
Total surface area of cube = 6 a²
ATQ,
6 a² = 108a
a = 18
Length of the rectangle = 3a = 54 cm

Exam Hall Method: