Question

PLEASE HELP ME ASAP Find the total surface area.

Answer 1

`243.2cm^(2)`

Explanation:

Step 1: Understand what this shape is constructed out of

2 Congruent Trapezoid

2 Congruent Rectangles

1 Small Rectangle

1 Large Rectangle

Step 2: Find the surface area of the shapes

Area of 2 Trapezoids =
`((a+b)/(2)h)2=((4+6)/(2)2.8)2=((10)/(2)2.8)2=((5)}(2.8))2= (11.6)(2)=23.2cm^(2)`

Area of 2 Rectangles =
`(3)(10)(2)=(60)(2)=120cm^(2)`

Area of Smaller Rectangle =
`(4)(10)=40cm^(2)`

Area of Larger Rectangle =
`(6)(10)=60cm^(2)`

Step 3: Add the surface areas up

`23.2cm^(2) +120cm^(2) +40cm^(2) +60^(2) =243.2cm^(2)`

Therefore the surface area of the Trapezoidal Prism is
`243.2cm^(2)`