Question

Please help me with my math​

Answer 1

SA = 480 cm²

Explanation:

Surface area of the composite figure given in the picture = (Surface Area of the triangular prism on the top - area of the rectangular base) + (Surface area of the rectangular prism - Area of the rectangular base)

Surface area of the triangular prism = Area of the triangular bases + (perimeter of the base × Height)

=
`2((1)/(2)* 3* 8)` + [(5 + 5 + 8)×12]

= 24 + 216

= 240 cm²

Area of the rectangular surface of the prism = 8 × 12 = 96 cm²

Surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = width and h = Height of the rectangular prism

= 2(8 × 12 + 12 × 6 + 6 ×8)

= 432 cm²

Surface area of the composite figure = (240 - 96) + (432 - 96)

= 144 + 336

= 480 cm²