Given:
The length of the blue prism is 5 cm.
The width of the blue prism is 5 cm.
The height of the blue prism is 6 cm.
Required:
We need to find the surface area of the blue prism.
Explanation:
Consider the front side of the blue prism.
The front side is a rectangle with length l =5 cm and breadth b=6cm.
The area of the rectangle is
[tex]front=lb[/tex]
Substitute l=5 and b=6 in the formula.
[tex]front=5\times6[/tex][tex]front=30cm^2[/tex]
Consider the back side of the blue prism.
The back side is a rectangle with length l =5 cm and breadth b=6cm.
We know that the area of the front side of the perism is same as the back side of the prism.
[tex]back=30cm^2[/tex]
Consider the right side of the blue prism.
The right side is a rectangle with length l =5 cm and breadth b=6cm.
The area of the rectangle is
[tex]right=lb[/tex]
Substitute l=5 and b=6 in the formula.
[tex]right=5\times6[/tex][tex]right=30cm^2[/tex]
Consider the left side of the blue prism.
The left side is a rectangle with length l =5 cm and breadth b=6cm.
We know that the area of the left side of the perism is same as the right side of the prism.
[tex]left=30cm^2[/tex]
Consider the bottom side of the blue prism.
The bottom side is a sqaure with side a=5cm.
The area of the square is
[tex]bottom=a^2[/tex]
Substitute a =5 in the formula.
[tex]bottom=5^2[/tex][tex]bottom=25cm^2[/tex]
Consider the top side of the blue prism.
The top side is a sqaure with side a=5cm.
The area of the top of the blue perism is 25 square cm
The area of the bottom of the yellow prism 9 square cm.
[tex]Top=25-9=16cm^2[/tex][tex]Total=30+30+30+30+25+16[/tex]
Final answer:
Sureface area of the blue prism is
[tex]Total\text{ =161cm}^2[/tex]
