Respuesta :

Answer:

2064 cm squared

Step-by-step explanation:

First I will try to solve for the area of each side:

Side #1(trapezoid): Area of a Trapezoid = half of sum of bases*height

A= (6+27)/2*8 = 33/2 *8 =132

Side #2(opposite trapezoid): Same area as theother one...

A= 132

Side#3(Top):

A=6*30=180

Side #4(Bottom):

A=27*30=810

Side #5(Left side):

A=10*30=300

Side #6(Right Side):

A=30*17=510

After solving for all the areas we just need to add them all up:

SA=132+132+180+810+300+510=2064 cm squared

Hope this helps!

Answer:

total surface area = 2064 cm^2

Step-by-step explanation:

Given prism with trapezoidal bases.

H=8

B1 = 27

B2 = 6

slant sides = 10, 17 cm

H = 30

Area of bases

A1 = 2 * (B1+B2)/2 * h

= 2* ( (27+6)/2 * 8 )

= 264

Area of sides

A2 = perimeter * H

= (6+17+27+10)*30

= 1800

Total area = A1+A2 = 264+1800 = 2064 cm^2

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