Answer:
Step-by-step explanation:
We need to analyze the surface
Look at the L shape, it has a mirror image at the back, which is symmetrical to the front side
Then,
area of rectangle = length × breadth
The L shape can be divided into two plane shape
1. A rectangle of length 10in and breadth 6in,
Then, A=l×b=10×6 = 60in²
2. To a square of side a=4in
Then, A=s²=4²=16in²
Then, the total area of one side of the L shape is
A=60+16=76in²
Also, the total area of the two L shape is =2×76
A=152in²
Then, let look at the back side of the solid and the front side, they are also symmetrical.
It forms a rectangle of length 10in and breadth 6in
Then, A= l×b=10×6=60in²
Area of the two sides is =60×2
A=120in²
The total are of the front and back side is 120in²
A=120in²
Let take a look at the top and bottom, they are also symmetrical and has a dimension of length 10in and breadth 6in
Then, A=l×b=10×6=60in²
So, total area =2×60 =120in²
The total area of the shape is the total area of top+ total are of the sides + total area of the L shape
Total area=152+120+120=392in²
A(total)=392in²
Then, the total area of the solid shape is 392in²
The first option is correct
