Answer:
Option D is correct.
Step-by-step explanation:
We are given with a solid figure with cuboid in base and square based pyramid in top.
we have to find Surface of the figure.
Surface Area = Curved surface ares of cuboid + area of base of cuboid + lateral surface area of pyramid.
Length of the cuboid, l = 8 cm
width of the cuboid , w = 8 cm
height of the cuboid , h = 11 cm
Lateral surface area of pyramid = 4 × Area of a triangle
Base of triangle , b = length of cuboid = 8 cm
Height of the triangle ,H = 8 cm
Surface Area = 2 × h × ( l+w ) + l × b + 4 × 1/2 × b × H
= 2 × 11 × ( 8 + 8 ) + 8 × 8 + 2 × 8 × 8
= 22 × 16 + 64 + 128
= 352 + 192
= 544 cm²
Therefore, Option D is correct.
