11 mark
A cube has sides of length 5 cm.
Work out the volume of the cube.
Show answer
125 cm³
Volume of a cuboid
Length times width times height.
11 original questions, 37 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.
The questions
22 marks
A cuboid measures 6 cm by 4 cm by 3 cm.
Work out the volume of the cuboid.
State the units of your answer.
Show answer
72 cm³
32 marks
A shipping container is a cuboid.
It is 2.5 m long, 1.2 m wide and 0.8 m high.
Work out the volume of the container. State the units of your answer.
Show answer
2.4 m³
43 marks
A cuboid has a volume of 180 cm3.
The base of the cuboid measures 6 cm by 5 cm.
Work out the height of the cuboid.
Show answer
6 cm
54 marks
A box is a cuboid measuring 60 cm by 40 cm by 30 cm.
Packets of tea are cuboids measuring 10 cm by 8 cm by 6 cm.
The packets are packed into the box so that they fill it completely with no gaps.
Work out the number of packets that fill the box.
Show answer
150
64 marks
A crate is a cuboid measuring 1.2 m by 0.8 m by 0.75 m.
Boxes are cuboids measuring 30 cm by 20 cm by 25 cm.
The boxes fit into the crate exactly, with no gaps.
Work out how many boxes fill the crate.
Show answer
48
74 marks
A fish tank is a cuboid with a base measuring 40 cm by 25 cm and a height of 20 cm.
The tank is filled with water to a depth of 15 cm.
All of the water is poured into cups. Each cup holds 250 ml.
Work out the number of cups that can be completely filled.
1 ml = 1 cm3
Show answer
60
83 marks
A swimming pool is a cuboid 10 m long, 5 m wide and 1.5 m deep.
The empty pool is filled with water at a rate of 2.5 m3 every minute.
Work out how many minutes it takes to fill the pool completely.
Show answer
30 minutes
94 marks
Three faces of a cuboid that meet at a vertex have areas 12 cm2, 8 cm2 and 6 cm2.
Work out the volume of the cuboid.
Show answer
24 cm³
105 marks
A water tank is a cuboid measuring 1.5 m by 0.8 m by 0.6 m.
The tank is empty. Dev fills the tank completely with water.
Water costs £1.25 for every 100 litres.
Work out the cost of the water needed to fill the tank.
1 m3 = 1000 litres
Show answer
£9.00
115 marks
A cuboid has a base measuring 8 cm by 5 cm.
The volume of the cuboid is 320 cm3.
Work out the total surface area of the cuboid.
Show answer
288 cm²
Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.
All Grade 3 topics
- Rounding to decimal places
- Multiplying and dividing decimals
- Ordering fractions and decimals
- Adding and subtracting fractions
- Converting between fractions, decimals and percentages
- Percentage of an amount with a calculator
- Writing one amount as a percentage of another
- Multiplying and dividing negative numbers
- Powers and roots
- Estimating answers
- Highest common factor and lowest common multiple (listing)
- Collecting like terms
- Expanding a single bracket
- Substituting into expressions and formulae
- Solving one-step and two-step equations
- Continuing and describing sequences
- Plotting straight-line graphs from a table
- Sharing in a ratio
- Unitary method and simple direct proportion
- Best buys
- Scale drawings and maps
- Angles on a line, around a point and vertically opposite
- Angles in triangles and quadrilaterals
- Area of triangles and parallelograms
- Circumference and area of a circle
- Volume of a cuboid
- Nets and properties of 3D shapes
- Reflection
- Translation
- Probability of a single event
- Sample space diagrams
- Mean from a list
- Two-way tables
- Reading pie charts
- Plotting scatter graphs