1 Answer

Nouman Tahir · Answer 1 · 2024-03-18T00:08:38+0000

Answer:

294 cm²

Explanation:

Surface area of composite figure:

Surface area of top opened rectangular prism:

l = 6 cm ; w = 6 cm ; h = 7 cm

$\sf \boxed{ \text{ surface area = 2h(l+w) + lw}}$

= 2*7 *(6 + 6 ) + 6*6

= 2*7*12 + 36

= 168 + 36

= 204 cm²

Surface area of right triangular prism:

In, right triangular prism, the base rectangle is not included.

Surface area = bh + (S1 + S2)*L

b is the base of the triangle. b= 6 cm

h is the altitude of the triangle. h = 4cm

S1 and S2 are the edges of the triangle.

S1 = 4 cm ; S2 = 7 cm

L is the length of the prism. L = 6 cm

Surface area = 6*4 + (4 + 7)*6

= 24 + 11 *6

= 24 + 66

= 90 cm²

Surface area of the composite figure = 204 + 90

= 294 cm²