Calculating Volumes of Prisms and Cuboids
5 cm
Calculate the
volume
of this cuboid
How many ways can find to do this?
Volume of a prism = Cross-Section × Length
Cross-Section = 12 cm
3
Length = 5 cm
5 cm
Volume = 12 × 5
= 60
cm
3
Cuboid
Triangular
prism
Pentagonal
prism
T
h
e
V
o
l
u
m
e
o
f
a
P
r
i
s
m
How would you find the volume of the cuboid?
How could you alter this to find the volume of the triangular prism?
What about the pentagonal prism?
Cuboid
Triangular
prism
Pentagonal
prism
The Volume of a Prism
Cuboid
Triangular
prism
Pentagonal
prism
Volume of a prism = area of cross-section x height*
*height = distance between two ends
18cm
2
10cm
Volume of a prism = area of cross-section x height*
*height = distance between two ends
5cm
8cm
20cm
Volume of a prism = area of cross-section x height*
*height = distance between two ends
6cm
5cm
10cm
Volume of a prism = area of cross-section x height*
*height = distance between two ends
Volume of Prisms
Calculate the volume of the following prisms
Check your work
a
b
h
Find the volume of these
trapezoidal
prisms.
(Can’t remember the area of a trapezium? See next slide)
16 cm
12 cm
20 cm
volume = 1200 cm
3
w
h
a
t
i
s
a
?
a
20 cm
volume = 960 cm
3
w
h
a
t
i
s
b
?
b
Problem 1
Problem 2
The triangular cross section of a prism is an isosceles
right-angled triangle.
Learn how to calculate the volume of prisms and cuboids of different shapes through various examples and explanations. Explore the concepts, formulas, and applications in geometry.
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Presentation Transcript
1cm 1cm 1cm = 1 cm3 5 cm Calculate the volume of this cuboid How many ways can find to do this? RETRIEVE INSTRUCT PRACTISE SECURE
1cm 1cm 1cm = 1 cm3 5 cm Cross-Section = 12 cm3 Length = 5 cm Volume of a prism = Cross-Section Length Volume = 12 5 = 60 cm3 RETRIEVE INSTRUCT PRACTISE SECURE
Cuboid Pentagonal prism Triangular prism RETRIEVE INSTRUCT PRACTISE SECURE
The Volume of a Prism The Volume of a Prism How would you find the volume of the cuboid? How could you alter this to find the volume of the triangular prism? What about the pentagonal prism? Cuboid Pentagonal prism Triangular prism RETRIEVE INSTRUCT PRACTISE SECURE
The Volume of a Prism Volume of a prism = area of cross-section x height* *height = distance between two ends Cuboid Pentagonal prism Triangular prism RETRIEVE INSTRUCT PRACTISE SECURE
Volume of a prism = area of cross-section x height* *height = distance between two ends 10cm 18cm2 RETRIEVE INSTRUCT PRACTISE SECURE
Volume of a prism = area of cross-section x height* *height = distance between two ends 20cm 5cm 8cm RETRIEVE INSTRUCT PRACTISE SECURE
Volume of a prism = area of cross-section x height* *height = distance between two ends 10cm 6cm 5cm RETRIEVE INSTRUCT PRACTISE SECURE
Volume of Prisms Calculate the volume of the following prisms RETRIEVE INSTRUCT PRACTISE SECURE
Check your work RETRIEVE INSTRUCT PRACTISE SECURE
Problem 1 20 cm 16 cm 12 cm 20 cm a b volume = 960 cm3 what is b? volume = 1200 cm3 what is a? RETRIEVE INSTRUCT PRACTISE SECURE
Problem 2 The triangular cross section of a prism is an isosceles right-angled triangle. The volume of the prism is 102 ??2 Use estimation to approximate the value of ? RETRIEVE INSTRUCT PRACTISE SECURE
