# Worksheet: Volumes and Surface Area Test (QQQ)

QQQ – Volumes and Surface Area
6
Determine the volume of this cylinder,
Name __________________
1
Define ‘prism’.
________________________________
________________________________
________________________________
2
Determine the volume of this solid: (be
sure to give correct units)
Volume = _______________ mm3
7
Determine the volume of this solid:
or to 2dp)
Volume = ____________
3
Determine the volume of this solid:
Volume = ______________ m3
8
The side lengths of a cuboid are 𝑥 − 1, 4
and 2. If its surface area is 166,
determine the value of 𝑥.
𝑥 = _____________
3
Volume = ____________ m
4
The length of a prism is 20cm and its
volume 150cm3. What is its crosssectional area? (give correct units)
________________________
5
Determine the surface area of a cuboid
with sides of length 3cm, 4cm and 5cm
(be sure to give correct units).
________________________
www.drfrostmaths.com
Score ________ / 8
Award ___________
QQQ – Volumes and Surface Area ANSWERS
1
Define ‘prism’.
A 3D shape which has the same 2D
shape/cross-section wherever you slice
it/throughout.
2
Determine the volume of this solid: (be
sure to give correct units)
6
Determine the volume of this cylinder:
Volume = 𝟏𝟕𝟓𝝅 = 𝟓𝟒𝟗. 𝟕𝟖 mm3
7
Determine the volume of this solid:
Volume = 𝟓𝟑𝒄𝒎𝟑
3
Determine the volume of this solid:
Volume = 𝟏𝟖𝝅 + 𝟑𝟔 or 92.55 m3
8
The side lengths of a cuboid are 𝑥 − 1, 4
and 2. If its surface area is 166,
determine the value of 𝑥.
𝒙 = 13.5
Volume = 60 m3
4
The length of a prism is 20cm and its
volume 150cm3. What is its crosssectional area? (give correct units)
7.5cm2
5
Determine the surface area of a cuboid
with sides of length 3cm, 4cm and 5cm
(be sure to give correct units).
94cm2
(half mark if no/incorrect unit)
www.drfrostmaths.com