Mathweave
Menu
Lessons How it works Pricing AboutSign inStart your free trialFree trial

Primary 6 · Chapter 7

Primary 6 Volume Question Types

Find the volume of cuboids and joined solids. Practise unit conversions, missing dimensions and water-level problems.

Self-paced lessons · Modelled on top school exam questions · No sign-up for the samples

The Volume chapter

Watch · The introduction

Watch the introduction

See volume as layers of cubes

Start with base area and height, then find missing dimensions and solve water-level problems.

Explore the introductory lesson →

Try · Modelled on top school exam questions

Try three questions, from easier to harder

Try each question yourself first, then check your answer or compare it with the solution. These questions are written by Mathweave, not copied from school papers. No sign-up is needed.

Question 1 of 3

Litres to millilitres

Use the 1000 millilitres in one litre to convert the capacity.

A bottle holds 1.25 ℓ of juice. How many millilitres of juice is that?

ml

Show the step-by-step solution
  1. conversion fact = unit relation for 1 ℓ = 1000 ml = 1000 cm³
  2. juice volume in millilitres = converted value of 1.25 ℓ = 1250 ml

Ans: 1250 ml

Explore this method →

Question 2 of 3

Complete a box of cubes

Find how many more unit cubes are needed to fill the box.

A box measures 5 cm by 4 cm by 3 cm. It already holds 30 one-centimetre cubes. How many more one-centimetre cubes are needed to fill the box completely?

Show the step-by-step solution
  1. full box = 5 × 4 × 3 = 60
  2. cubes to add = 60 - 30 = 30

Ans: 30

Explore this method →

Question 3 of 3

Find the water depth

Divide the water volume by the base area to find its depth.

A rectangular tank measures 60 cm by 40 cm by 15 cm. It contains 9600 cm³ of water. Find the depth of the water.

cm

Show the step-by-step solution
  1. base area = 60 × 40 = 2400
  2. water level = 9600 ÷ 2400 = 4 cm

Ans: 4 cm

Explore this method →

Continue with the method you need

Follow a lesson link beside a question, or browse the chapter below.

See practice plans See how practice works

The chapter · Seven question types

Primary 6 volume questions by question type

A linked row opens a published lesson with its own film. Explore the explanation and available practice on that page.

The order · Three groups

The order to learn them

  1. What a volume is, and how it is measured

    7.1, then 7.3 and 7.4

  2. Working back from a volume

    7.2, then 7.5

  3. Two containers, and mixed practice

    7.6 and 7.7

The number tells you where a question type sits in this chapter, not what your child needs to learn first. A child who has already met a type in school can practise it without working through the ones above it.

The papers · Modelled against top school papers

How Paper 1 and Paper 2 set these questions

The PSLE Maths format from 2026.

Paper 1 has 30 questions for 50 marks: 18 multiple-choice questions and 12 short-answer questions. Paper 2 has 15 questions for 50 marks: 5 short-answer questions and 10 structured or long-answer questions.

Source: SEAB examination syllabus, from 2026

Volume appears in every paper, sometimes without a formula.

A common question uses a solid built from unit cubes and shows front, side or top views. Three- and four-mark items appear in Paper 2 and often involve water in a tank or water poured between containers.

Many higher-mark Paper 2 questions combine topics.

Close to half of Paper 2 questions combine two or more topics. A volume question may also require a unit conversion, a fraction or a ratio. Practice questions are not labelled by type, so children must choose the methods they need.

Everything here is modelled against top school papers. Those papers are never reproduced, and every question on this site is original.

Written working · Clear methods, line by line

How to set out the working clearly

These examples show Mathweave's clear, consistent layout for each method. The layout is informed by the answer keys we reviewed.

  • Mathweave writes the volume rule before substitutingMathweave writes volume = length × breadth × height before substituting measurements. This is our teaching layout; reviewed keys usually begin with the numerical calculation. Use the same first line when working backwards.
  • Write the base area before finding the missing lengthMathweave names the base area on its own line, then divides the volume by that area to find the missing length. Some reviewed keys chain the divisions instead. Our two-line form keeps the intermediate quantity visible.
  • Mathweave keeps the units in the divisionMathweave writes 1700 cm³ ÷ 170 cm² = 10 cm. Cubic centimetres divided by square centimetres leave centimetres. This unit calculation confirms that the answer is a length.
  • Mathweave writes the volume conversions as one chainMathweave writes 1 litre = 1000 ml = 1000 cm³ as one chain of equals. Some reviewed keys print the full chain; others abbreviate it.

Parents · Asked and answered

Questions parents ask

Is this the PSLE syllabus?

The question types follow the latest MOE Primary Mathematics syllabus. The syllabus defines what is taught; the papers we model against show how it is examined.

Why does the chapter teach things my child met in an earlier year?

Primary 6 adds finding missing measurements from a volume, including square roots and cube roots. Earlier volume work is also examined, so it is taught here in full.

Are the questions from past papers?

We write the questions ourselves rather than copy them from papers. Each chapter is modelled on the types of question that top school papers set. A question may look like one your child has met before because it is the same type.

What does the practice add over the films?

Practice uses different numbers for each question type, points out the common mistake when your child makes it and records which types your child can complete independently.

Start your free trial