Name ____________________

Date __________________

 

Surface Area and Volume of Solids and Cylinders

 

Lesson 1

 

 

Problem:

 

Find the surface area and volume of the given prism. 

 

7

a = 4cm

b = 9cm

c = 12cm

d = 50cm

Solution
Step 1:
  

       

Surface area of a prism = (2 x area of base) + (perimeter of base x h)  

 

 

Area of base = x a x b

= x 4 x 9

= 18 sq cm

 

Perimeter of base = Sum of all the sides

= 4 + 9 + 50

= 63 cm

 

Substituting the above calculated values in the formula

 

Surface area of a prism = (2 x 18 sq cm) + (63 cm x 50 cm)  

= 36 + 3150 sq cm

= 3186 sq cm

 

 

Solution
Step 2:
  

Volume of prism = x L x B X H

= x 4 x 9 x 12

= 216 cu cm

 

 

 

Try two practice problems:

A

1

a = 4km

b = 26km

B

2

a = 7.2m

b = 6.6m

c = 4.1m

 



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