Olibits / Math / Volume of Cubes & Cuboids
Primary 6 Math: Volume of Cubes & Cuboids Practice
Real Primary 6 Math questions on Volume of Cubes & Cuboids, pulled directly from the Olibits question bank — the same questions a child would actually see, not separately written for this page.
MOE strand: Measurement and Geometry
Curriculum alignment
Mathematics Syllabus, Primary One to Six (MOE, 2021 syllabus)
Taught across P1–P6.
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Real Volume of Cubes & Cuboids practice questions
Xin Yi says: 'When a solid is submerged in a tank of water, the water level always rises by an amount equal to the solid's height.' What is wrong with her statement?
The water level never changes when a solid is submerged
She is completely correct
The water level only rises if the solid floats
The water level rises based on the solid's VOLUME divided by the tank's base area - not simply the solid's own height, which is only true in special cases ✓
The rise in water level equals the volume of water displaced (equal to the solid's volume) divided by the tank's base area - this only happens to equal the solid's own height if the solid's base area exactly matches the tank's base area.
A cuboid tank has dimensions 20 cm by 20 cm by 20 cm. Which of these correctly gives its volume, in cm³?
8,000 ✓
400
1,200
60
Volume = 20 × 20 × 20 = 8,000 cm³. Common mistakes include finding just one face's area (20 × 20 = 400) or adding the edges instead of multiplying (20 + 20 + 20 = 60).
Which of these cuboids does NOT have a volume of 720 cm³?
20 cm × 6 cm × 5 cm ✓
12 cm × 10 cm × 6 cm
15 cm × 8 cm × 6 cm
9 cm × 8 cm × 10 cm
12×10×6 = 720 cm³, 15×8×6 = 720 cm³, and 9×8×10 = 720 cm³ all equal 720 cm³, but 20×6×5 = 600 cm³ is different.
Xin Yi says: 'A cuboid measuring 6 cm by 4 cm by 3 cm has the same volume as a cube of side 5 cm, because both shapes are made of small unit cubes.' Is she correct?
No - the cuboid's volume is 72 cm³ and the cube's volume is 125 cm³, so they are not equal ✓
Yes, she is correct
No - the cuboid's volume is greater
Volumes of different shapes can never be compared
Cuboid volume = 6 × 4 × 3 = 72 cm³. Cube volume = 5 × 5 × 5 = 125 cm³. Since 72 ≠ 125, Xin Yi's claim is incorrect.