Answer:
The surface area of given figure = 264 cm²
Explanation:
From the given figure we can see that, a square pyramid mounded on a cube
The side of cube = 6 cm
Base of pyramid is one face of cube.
Slant height of pyramid = 7 cm
Total surface area = (5 * one face of cube ) + (lateral surface area of pyramid)
To find the total surface area
lateral surface area of pyramid = 4 * one face area of pyramid
One face area of cube = side² = 6² = 36
One face area of pyramid = bh/2 = (6 * 7)/2 = 21 cm²
Lateral surface area of pyramid = 4 * 21 = 84 cm²
Surface area = (5 * 36) + (84) = 264 cm²
Therefore surface area of given figure = 264 cm²