Answer:
[tex]490in^2[/tex] that is option 2nd is correct.
Step-by-step explanation:
The surface area of cuboid is:
[tex]2(lb+bh+hl)[/tex]
Here, both the shapes are cuboid:
Length is 5 in
Height is 8 in
Breadth is 5 in
And in the other figure
Length is 10 in
Breadth is 10 in
Height is 2 in
Substituting the values in the formula we get:
For first figure:
[tex]2(5\cdot 5+5\cdot 8+8\cdot 5[/tex]
[tex]\Rightarrow 2(25+40+40)[/tex]
[tex]\Rightarrow 2(105)=210[/tex]
And for second figure:
[tex]2(10\cdot 10+10\cdot 2+2\cdot 10[/tex]
[tex]\Rightarrow 2(100+20+20)[/tex]
[tex]\Rightarrow 2(140)=280[/tex]
Now adding areas of both the figures we get:
210+280=490
Therefore, Option 2nd is correct.
