What is the surface area of the composite figure?

a. 608 cm 2
b. 672 cm 2
c. 570 cm 2
d. 544 cm 2

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.

$113.42

i hope that is right.

step-by-step explanation: