Surface area = 197 in²
Step-by-step explanation:
To determine the surface area of the solid shown in the diagram, we would first determine the area of the different faces.
1) It has 2 trapezoidal faces at the front and opposite end, the formula for determining the area of a trapezoid is expressed as
Area = (a + b)h/2
a and b are the length of the bases while h is the height of the trapezoid.
Area of trapezoid = (5 + 9)5/2 = 35 in²
Area of the trapezoid at the opposite end = 35 in²
2) Area of base = 9 × 5 = 45 in²
3) Area of top = 5 × 5 = 25 in²
4) Area of slant face = 6.4 × 5 = 32 in²
5) Area of back = 5 × 5 = 25in²
Surface area of the design is the sum of the area of its faces. It becomes
35 + 35 + 45 + 25 + 32 + 25 = 197in²
