Mathematics: PLEASE HELP ME ASAP Find the total surface area.

i think its 24m^2Step-by-step explanation:...

PLEASE HELP ME ASAP Find the total surface area.

ovaldez5237

31.01.2022

$243.2cm^{2}$

Step-by-step 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 = $(\frac{a+b}{2}h)2=(\frac{4+6}{2}2.8)2=(\frac{10}{2}2.8)2=((5)}(2.8))2= (11.6)(2)=23.2cm^{2}$

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 $243.2cm^{2}$

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