Answer:
504 sq.in.
Step-by-step explanation:
Given,
Edges of a box = 12 in. , 15 in. , 6 in.
So,
Lateral Surface Area (LSA) of the box
= 2 (l + b) h
- [On substituting their values]
= [2 (12 + 15) × 6 ] [tex]in^{2}[/tex]
= [2 × 27 × 6] [tex]in^{2}[/tex]
= 324[tex]in^{2}[/tex]
And,
Base area of the box
= l × b
- [On substituting the values]
= (12 × 15) [tex]in^{2}[/tex]
= 180 [tex]in^{2}[/tex]
Therefore,
Total area painted by Agnes leaving the top of the box
= LSA of the box + Base area of the box
- [On putting their values]
= 324[tex]in^{2}[/tex] + 180 [tex]in^{2}[/tex]
= 504[tex]in^{2}[/tex]
Hence,
The total area painted is 504[tex]in^{2}[/tex] (Ans)
