Question

I NEED AN ANSWER QUICK! What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer. (And PLEASE show work)

Answer 1

210 cm²

Explanation:

Area of the surface having dimensions 6 cm × 11 cm

`A_1` = 11 × 6 = 66 cm²

Area of the surface having dimensions 3 cm × 6 cm

`A_2` = 3 × 6 = 18 cm²

Area of the surface having dimensions 7 cm × 6 cm

`A_3` = 7 × 6 = 42 cm²

Area of the surface having dimensions 5 cm × 6 cm

`A_4` = 5 × 6 = 30 cm²

Area of the trapezoidal surface on the top =
`(1)/(2)(b_1+b_2)h`

`A_5` =
`(1)/(2)(11+7)3`

= 27 cm²

Area of the trapezoidal base
`A_6` = Area of the surface on the top = 27 cm²

Total surface area =
`A_1+A_2+A_3+A_4+A_5+A_6=66+18+42+30+27 + 27`

= 210 cm²

Therefore, total surface area of the trapezoidal prism = 210 cm²