Answer:
160 m²
Step-by-step explanation:
The surface area of the prism is the sum of the area of its surfaces. This prism has 5 surfaces, namely the front, back, right, left and bottom surface.
<u>Area of front surface</u>
Area of triangle= ½ ×base ×height
Base= 6 m
Height= 4 m
Area= 6(4)= 24 m²
<u>Area of back </u><u>surface</u>
Area of back surface
= area of front surface
= 24 m²
<u>Area of right </u><u>surface</u>
Area of rectangle= length ×breadth
Length= 7 m
Breadth= 5 m
Area= 7(5)= 35 m²
<u>Area of left </u><u>surface</u>
Area of left surface
= area of right surface
= 35 m²
<u>Area of bottom </u><u>surface</u> (base of prism)
Area of rectangle= length ×breadth
Length= 7 m
Breadth= 6 m
Area= 6(7)= 42 m²
The total surface area can be found by adding all of the surface areas we have found earlier.
Total surface area
= 24 +24 +35 +35 +42
= 160 m²
