The side face of a cuboid is a square having an area of 64 cm² and the longer edge in each of the four rectangular faces is of length 15 cm. The area of each rectangular face in cm² is

Correct option is A

Given:

A side face of the cuboid is a square with area 64 cm²

The longer edge of each rectangular face = 15 cm

Find the area of each rectangular face

Formula Used:

Area of square = a²

Area of rectangle = length × breadth

Solution:

Area of square face = 64

a² = 64

a = 8 cm

So, the square face has sides 8 cm × 8 cm

The rectangular faces have:

One side = longer edge = 15 cm

Other side = side of square = 8 cm

Area of each rectangular face:

15 × 8 = 120 cm²

Area of each rectangular face = 120 cm²