Any2Quiz
Quizzes / CBSE / Class 6 / Mathematics / Geometry

Volume Quiz - CBSE Class 6 Mathematics

Free practice quiz: Volume (CBSE Class 6 Mathematics). 16 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 6 Mathematics practice quiz has 16 multiple-choice questions on Volume, and 16 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Start quiz: 16 questions, free

Learn the key ideas first ↓

Learn the key ideas Beta

Volume of cuboids and cubes

  • Volume is the amount of space a solid takes up, measured in cubic units like cm³ or m³.
  • For a cuboid (box), multiply length, breadth and height. A cube has all sides equal.
  • To find a cube's side from its volume, find the number that multiplied by itself thrice gives the volume.
Cuboid
\[V = l \times b \times h\]
Cube
\[V = a^3\]
Side of cube
\[a = \sqrt[3]{V}\]

Common mistake: Adding the dimensions instead of multiplying them, or writing the answer in square units instead of cubic units.

Prisms: base area times height

  • Any prism has the same cross-section all along its length. Its volume is base area times height.
  • If volume and base area are known, divide volume by base area to get the height.
Prism volume
\[V = B \times h\]
Missing height
\[h = \frac{V}{B}\]
Missing base area
\[B = \frac{V}{h}\]

Common mistake: Multiplying the base area by another side length again, when the base area already includes two dimensions.

Cylinder, cone and sphere

  • A cylinder is a prism with a circular base, so its volume is circle area times height.
  • A cone holds one-third of a cylinder with the same base and height.
  • A sphere's volume depends only on its radius r.
Cylinder
\[V = \pi r^2 h\]
Cone
\[V = \frac{1}{3}\pi r^2 h\]
Sphere
\[V = \frac{4}{3}\pi r^3\]

Common mistake: Using the diameter instead of the radius, or forgetting to square (or cube) the radius before multiplying.

Capacity, percent and containers

  • Capacity is how much a container can hold, often in litres (L) or millilitres (mL).
  • To find a percent of capacity, write the percent as a decimal and multiply, e.g. 40% becomes 0.4.
  • To count how many small containers fill a big one, divide the big capacity by the small one.
Amount filled
\[\text{Amount} = r \times C\]
Space left
\[\text{Space left} = C - \text{Amount filled}\]
Number of containers
\[n = \frac{\text{Total capacity}}{\text{One container}}\]
Unit link
\[1\ \text{mL} = 1\ \text{cm}^3\]

Common mistake: Using the percent as a whole number when multiplying, for example multiplying by 40 instead of by 0.4.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. What is the volume of a cube with a side length of 2 cm?

    Show answer

    Answer: C. 8 cm³

    The volume of a cube is calculated as side³. Therefore, 2 cm * 2 cm * 2 cm = 8 cm³.

  2. If a cylinder has a radius of 3 cm and height of 7 cm, what is its volume? (Use π ≈ 3.14)

    Show answer

    Answer: A. 62.76 cm³

    The volume of a cylinder is calculated as π * radius² * height. So, 3.14 * (3 cm)² * 7 cm = 62.76 cm³.

  3. What is the volume of a cone with a radius of 5 cm and height of 10 cm? (Use π ≈ 3.14)

    Show answer

    Answer: A. 78.5 cm³

    The volume of a cone is given by (1/3)πr²h. For radius 5 cm and height 10 cm, V = (1/3) * 3.14 * (5)² * 10 = 78.5 cm³.

  4. If a box has dimensions of 4 cm by 3 cm by 2 cm, what is its volume?

    Show answer

    Answer: A. 24 cm³

    The volume of a box (rectangular prism) is calculated by multiplying its dimensions: 4 cm * 3 cm * 2 cm = 24 cm³.

  5. A cube's volume is 729 cm³. What is the length of one side?

    Show answer

    Answer: B. 9 cm

    To find the length of one side of a cube from its volume, we take the cube root: side = ∛729 = 9 cm.

Take the full quiz

More questions in this quiz

Answers and explanations are in the full quiz.

  1. A container holds 10 liters of water. If it is filled to 50% of its capacity, how many liters of water are in the container?
  2. What is the volume of a rectangular prism with length 3 cm, width 4 cm, and height 5 cm?
  3. What is the volume of a sphere with a radius of 4 cm? (Use π ≈ 3.14)
  4. If a glass is 80% full and it has a volume of 200 ml, how much water is in the glass?
  5. A swimming pool is 25 m long, 10 m wide, and 2 m deep. How many cubic meters of water can it hold?
  6. What is the volume of a triangular prism with a base area of 20 cm² and height of 15 cm?
  7. A water tank can hold 1,200 liters of water. If it is currently filled with 1,000 liters, how many more liters can it hold?
  8. A prism has a base area of 30 cm² and a height of 12 cm. What is its volume?
  9. The volume of a prism is 240 cm³, and its base area is 20 cm². What is its height?
  10. What is the volume of a large fish tank that measures 1.5 m in length, 0.5 m in width, and 0.6 m in height?
  11. If a bucket can hold 5 liters of water, how many buckets are needed to fill a tank of 500 liters?

More quizzes

Browse all Geometry quizzes

More to play

Daily ChallengeA new quiz every day. Keep your streak.HangmanGuess the word, letter by letter.Story QuestLearn through short interactive stories.All quizzesCBSE, ICSE, competitive exams and more.