How is paper 3 different from papers 1 and 2?

Paper 1 focused on direct volume and reverse edge length, paper 2 added filling and cutting; paper 3 puts units first and adds 1 m³ = 1000 L plus depth from a known volume, which school tests use but textbooks practise less.

Why change 18 L to cm³ first?

Length and width are in cm, so the depth only comes out in cm when the units match; otherwise the answer is out by a factor of a thousand.

Primary 5 Maths: Volume of Cuboids and Cubes — Practice Paper 3 (10 Questions)

2026-10-29

Tutor Prep Guide · Primary Maths

Paper 3 puts units first: telling cm² from cm³ removes a whole class of lost marks. It also adds 1 m³ = 1000 L and finding water depth from a known volume.

Quick answer　10 questions, about 25 minutes. Items 06 to 08 involve litres, cubic metres and cutting, and item 10 checks the unit only; mark after finishing.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10 questions
Suggested time	25 minutes
Difficulty mix	Foundation 4 · Intermediate 3 · Challenge 2 · Error redo 1
Chapter	Chapter: Primary 5 Maths: Volume of Cuboids and Cubes
Level	Primary 5

02　Questions (10 items)

FoundationA cuboid is 15 cm long, 4 cm wide and 6 cm high. Find its volume.
FoundationA cube has edges of 9 cm. Find its volume.
FoundationA cuboid has base area 36 cm² and height 7 cm. Find its volume.
FoundationA container holds 2500 cm³. How many litres is that?
IntermediateA cuboid has volume 480 cm³, length 12 cm and width 8 cm. Find its height.
IntermediateA tank is 50 cm long, 30 cm wide and 20 cm high, filled to 3/4 of its height. How many litres of water?
IntermediateA cube-shaped tank has edges of 1.5 m. How many litres can it hold?
ChallengeA cuboid 10 cm by 7 cm by 6 cm is cut entirely into 2 cm cubes. What is the largest number of cubes?
ChallengeA tank is 40 cm long and 25 cm wide and already holds 18 L of water. How deep is the water?
Error redoA cuboid is 6 cm long, 4 cm wide and 3 cm high. Find its volume — cm² or cm³? (common slip: right number, wrong unit)

03　Answers and one-line notes

#	Answer	One-line note
1	360 cm³	Length × width × height = 15 × 4 × 6, with unit cm³.
2	729 cm³	9 × 9 × 9 = 729; all three edges are equal.
3	252 cm³	The base area already stands for length × width, so multiply by the height only.
4	2.5 L	1 L = 1000 cm³, so divide by 1000.
5	5 cm	Height = volume ÷ (length × width) = 480 ÷ 96.
6	22.5 L	Full capacity 30,000 cm³; × 3/4 gives 22,500 cm³, then ÷ 1000.
7	3375.0 L	Volume is 3.375 m³; 1 m³ = 1000 L, so 3375 L.
8	45 cubes	10 ÷ 2 = 5, 7 ÷ 2 = 3 with 1 left, 6 ÷ 2 = 3, so 5 × 3 × 3 = 45; the leftover 1 cm cannot make a full cube.
9	18 cm	18 L = 18,000 cm³; depth = 18,000 ÷ (40 × 25) = 18.
10	72 cm³	Volume is three-dimensional, so always cm³; cm² is only for area.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

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