Question

What is the surface area of this shape?

Answer 1

a = 88 cm2

Explanation:

`a=(4)(3)+2(4)(1)+2(5)(2)+2(3)(2)+(1)(3)+6(3)+5(3)=12+8+20+12+3+18+15`

`a=88cm^(2)`

Hope this helps

Answer 2

88 square cm

Explanation:

Surface area of combined solids:

Surface area of down rectangular prism:

l = 6cm ; w = 3 cm & h = 2 cm

`\sf \boxed{Total \ surface \ area \ of \ rectangular \ prism = 2*(lw + wh+hl)}`

= 2*(6*3 + 3*2 + 2*6)

= 2* (18 + 6 + 12)

= 2 * 36

= 72 cm²

Lateral surface area of the top rectangular prism:

l = 3 cm

w = 1 cm

h = 4 - 2 = 2 cm

LSA = 2h( l + w)

= 2*2 *( 3 + 1)

= 4 * 4

= 16 cm²

Surface area of the shape = 72 + 16

= 88 cm²