1. Find volumes of prism; solve real-life problems. CC.SS.7.G.6

2. A Prism
Cylinder
Cuboid
Cross section
Triangular Prism
Trapezoid Prism

3. Area Formula r h b Area Circle = π x r2 Area Rectangle = Base x height
Area Trapezium
= ½ x (a + b) x h a b h
Area Triangle
= ½ x Base x height

4. Volume of Prism =
Cross-sectional area x Length

5. What is a prism?

6. Volume Cylinder Cross-sectional Area = π x r2 = π x 32 = 28.2743…..cm2
DO NOT ROUND!
3cm
5cm
USE CALCULATOR ‘ANS’!
Volume = length x CSA
= 5 x ….
= ….cm3
= 141.4cm3

7. Volume Cuboid Cross-sectional Area = b x h = 7.2 x 5.3 = 38.16cm2
DO NOT ROUND!
7.2cm
Volume = length x CSA
USE ‘ANS’!
= x 38.16
= cm3
Sensible degree of accuracy
= 404.5cm3

8. Volume Trapezoid Prism
Cross-sectional Area = ½ x(a + b) x h
= ½ x ( ) x 4.9
1.7cm
8.2cm
6.3cm
4.9cm
= 19.6cm2
DO NOT ROUND!
Volume = length x CSA
USE ‘ANS’!
= x 8.2
= cm3
Sensible degree of accuracy
= 160.7cm3

9. Volume Triangular Prism
Cross-sectional Area = ½ x b x h
= ½ x 8.6 x 4.1
= 17.63cm2
4.1cm
4.9cm
DO NOT ROUND!
6.2cm
8.6cm
Volume = length x CSA
USE ‘ANS’!
= x 6.2
= cm3
Sensible degree of accuracy
= 109.3cm3