Question

Find the surface area Please explain

Answer 1

Answer:

Given

=>A Trapezoidal Prism

To Find

=>The surface area

Solution:

=>

The surface area S = 2. A Base + Lateral Surface Area

Atrapezoid = A Base

h (a+b)

L Lateral Surface Area = the sum of the areas of each surface around the Base.

L = al + cl + bl + dl

Substitute each piece into the equation:

h S = 2 (a + b) + al + cl + bl + dl 2

Simplify:

S = h(a + b) + al + cl + bl + dl =

Distribute and Rearrange

: S = ha + hb + al + cl + bl + dl

S = a(h + l) + b(h + l) + cl + dl

Here,

a =4yd

h = 4.6yd

b =8yd

c= 5yd

d=5yd

l=4yd

INSERTING the values in the formula

=> S = 4(4.6+4)+8(4.6+4)+5*4+5*4

=>S = 4*8.6+ 8*8.6+20+20

=>S = 34.4+68.8+40

=>S=143.2 Cm ²

Hence ,(a) =143.2cm² is the correct answer

Answer 2

Step-by-step explanation:

There are two trapezium(s), area of 2:

= 2 [½ x (sum of || sides) x height]

= 2[½ x (4 + 8) x 4.6 ] [not clearly visible if it is 4.5 or 4.6]

= 55.2 yd²

Area of vertically tilted rectangles

1): area = 5 x 4 = 20 yd²

2): area = 5 x 4 = 20 yd²

Total area = 20 + 20 = 40 yd²

Area of horizontal rectangles:

1): area = 4 x 8 = 32 yd² [upper]

2): area = 4 x 4 = 16 yd² [lower]

Area of given surface = 55.2 + 40 + 32 + 16 = 143.2 yd²