Surface area of the ramp is 240ft².
What is surface area?
"Surface area is defined as the total area covered by the surfaces of the 3 dimensional object."
Formula used
Area of the triangle = ( 1/ 2) ×base × height
Area of the rectangle = length × width
Total surface area
= 2(Area of triangular base)+Area of (rectangle1 + rectangle2 +rectangle3)
According to the question,
Given,
Ramp is in triangular prism shape
As given in the diagram,
Base of the triangle = 5ft
height of the triangle = 12ft
Substitute the value in the formula we get,
Area of the triangular base = (1 / 2) × 5 ×12
= 30 ft²
Area of the 2triangular base = 2 × 30
= 60ft² ____(1)
length of rectangle1 = 6ft
width of rectangle 1 = 5ft
Substitute the value in the formula we get,
Area of the rectangle1 = 6 × 5
= 30 ft² _____( 2)
length of rectangle2 = 6ft
width of rectangle 2= 12ft
Substitute the value in the formula we get,
Area of the rectangle2 = 6 × 12
= 72 ft² _____(3)
length of rectangle3= 6ft
width of rectangle 3 = 13ft
Substitute the value in the formula we get,
Area of the rectangle3= 6 × 13
= 78 ft² _____(4)
Add (1) , (2), (3) and (4) we get,
Total surface area = 60 + 30 +72 +78
= 240 ft²
Hence, surface area of the ramp is 240ft².
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