VOLUME OF PRISMS V Area of Base x Height V 8 x 6 x 10 V 48 x 10 ID: 587444
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Slide1
VOLUME OF SOLIDSSlide2
VOLUME OF PRISMS
V = Area of Base x Height
V = (8 x 6 ) x 10 V = 48 x 10 V = 480 cm3
6 cm
8
cm
10 cm
All measurements must be in the same UNIT before doing ANY calculations !Slide3
Example #
2
Find the volume of a prism that is 15 cm high and has a pentagonal base. The apothem is 60 mm, side length is 7cm. Give your answer in cubic centimeters.V = Area of the base X Height
Area of base = 7 x 5 x 6 2Area of base = 105Volume = Area of base X HeightVolume 105 x 15
Volume = 1575 cm3Slide4
Work for Volume of Prisms
Workbook
Page 193 # 17 a,b (cube),cPage 194 # 19 #23 #24
#25 #26 #28a Slide5
How to find height when you know volume and area of the base.
Volume = Area of Base X Height
Height = Volume Area of BaseExample: Prism has a volume of 2400 cm3 and an
area of base of 120cm2 What is its height?Height = Volume
AbaseH = 2400
120H = 20 cm
V= 2400 cm
3
A
base
= 120 cm
2Slide6
Area
base =
Volume HeightFind the area of the base of a prismThat has a volume of 300 cm3and a height of 5 cm.Area
base = 300 5Area base = 60 cm2
How to find area of base when you know volume and height.
V= 300 cm
3Slide7
Volume of Cylinders
Volume = Area of Base X Height
Volume = πr2 X HeightVolume = π2
2 X 10Volume = 125.66 cm3
Remember to ALWAYS work in ONE unit.
H = 10cm
d= 4 cm