Volume of other 3D shapes – prisms
and cylinders
2
Find the volumes of the cylinders.
Find the answer to part a) to 3 significant figures and the answer to
part b) in terms of π.
a)
1
0.8 m
1.2 m
Find the volumes of the shapes.
a)
m3
8 cm
10 cm
b)
6 cm
30 mm
cm3
120 mm
b)
mm3
5 cm
7 cm
3 cm
3
Both triangular prisms have a volume of 84 cm3
Find the unknown lengths.
a)
cm3
c)
6 cm
6 mm
x
5 cm
5 mm
x=
cm
y=
cm
b)
12 mm
4.5 mm
8 cm
10 cm
mm3
y
© White Rose Maths 2020
4
6
The diagram shows a concrete solid used in construction.
1 litre = 1,000 cm3
Find the volume of the solid.
Here is a diagram of a swimming pool and a sign from the pool.
Give your answer to 3 significant figures.
15 m
The pool depth increases at a constant rate and is then a constant depth.
7m
Swimming Pool Information
Depth in shallow end 1.1 m
m3
5
x
Work out the length marked x.
Find the volumes of the solids.
Depth in deep end
1.9 m
Length of pool
25 m
Width of pool
10 m
Pool capacity 409,000 litres
Show all your workings.
a)
12 cm
15 cm
x=
15 cm
x is a positive integer greater than 1
7
13 cm
m
Which shape has the greatest volume?
A
B
C
cm3
b)
3x
86 mm
3x
3x
23 mm
20 mm
49 mm
8x
x
2x
2x
12x
x
60 mm
mm3
© White Rose Maths 2020