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Volume - MYP Questionbank | RevisionDojo

Practice Volume with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

A small soil sample has a volume of $0.002 \text{ m}^3$ . How many cubic millimeters ( $\text{mm}^3$ ) is this volume?

Question 2

An irregular rock is submerged in a measuring cylinder containing water. The initial water level is $150 \text{ mL}$ , and after the rock is fully submerged, the level rises to $185 \text{ mL}$ . The volume of the rock is ______.

Question 3

A storage box is packed with smaller solid cubes. If each small cube has a side length of $2 \text{ cm}$ , how many such cubes are required to completely fill a larger cuboid-shaped box with dimensions $10 \text{ cm} \times 8 \text{ cm} \times 6 \text{ cm}$ ?

Question 4

Consider a cone with base radius $r$ and vertical height $h = r$ . A sphere also has radius $r$ . What is the ratio of the volume of this specific cone to the volume of the sphere?

Question 5

A rectangular swimming pool measures $10\,\text{m}$ in length, $4\,\text{m}$ in width, and has a constant depth of $1.5\,\text{m}$ . How many litres of water are required to fill the pool?

Question 6

True or False: If a sphere has a volume of $V$ , then the volume of the smallest cylinder that can circumscribe it is exactly $\frac{3}{2}V$ .

Question 7

An engine coolant reservoir has a capacity of $4.5\text{ litres}$ . What is this volume expressed in cubic metres ( $\text{m}^3$ )?

Question 8

Based on the geometric relationship attributed to Archimedes, the volume of a sphere is exactly what fraction of the volume of the cylinder that just fits around it (the circumscribed cylinder)?

Question 9

Which of the following correctly describes the formula for calculating the volume of any pyramid with base area $B$ and perpendicular height $h$ ?

Question 10

A cylindrical water pipe has a radius of $2 \text{ cm}$ and a length of $50 \text{ cm}$ . Calculate the volume of water the pipe can hold in terms of $\pi$ .

Type

Difficulty

Question 1

A small soil sample has a volume of $0.002 \text{ m}^3$ . How many cubic millimeters ( $\text{mm}^3$ ) is this volume?

Question 2

Question 3

Question 4

Consider a cone with base radius $r$ and vertical height $h = r$ . A sphere also has radius $r$ . What is the ratio of the volume of this specific cone to the volume of the sphere?

Question 5

A rectangular swimming pool measures $10\,\text{m}$ in length, $4\,\text{m}$ in width, and has a constant depth of $1.5\,\text{m}$ . How many litres of water are required to fill the pool?

Question 6

True or False: If a sphere has a volume of $V$ , then the volume of the smallest cylinder that can circumscribe it is exactly $\frac{3}{2}V$ .

Question 7

An engine coolant reservoir has a capacity of $4.5\text{ litres}$ . What is this volume expressed in cubic metres ( $\text{m}^3$ )?

Question 8

Based on the geometric relationship attributed to Archimedes, the volume of a sphere is exactly what fraction of the volume of the cylinder that just fits around it (the circumscribed cylinder)?

Question 9

Which of the following correctly describes the formula for calculating the volume of any pyramid with base area $B$ and perpendicular height $h$ ?

Question 10

A cylindrical water pipe has a radius of $2 \text{ cm}$ and a length of $50 \text{ cm}$ . Calculate the volume of water the pipe can hold in terms of $\pi$ .

Type

Difficulty

Question 1

A small soil sample has a volume of $0.002 \text{ m}^3$ . How many cubic millimeters ( $\text{mm}^3$ ) is this volume?

Question 2

Question 3

Question 4

Consider a cone with base radius $r$ and vertical height $h = r$ . A sphere also has radius $r$ . What is the ratio of the volume of this specific cone to the volume of the sphere?

Question 5

A rectangular swimming pool measures $10\,\text{m}$ in length, $4\,\text{m}$ in width, and has a constant depth of $1.5\,\text{m}$ . How many litres of water are required to fill the pool?

Question 6

True or False: If a sphere has a volume of $V$ , then the volume of the smallest cylinder that can circumscribe it is exactly $\frac{3}{2}V$ .

Question 7

An engine coolant reservoir has a capacity of $4.5\text{ litres}$ . What is this volume expressed in cubic metres ( $\text{m}^3$ )?

Question 8

Based on the geometric relationship attributed to Archimedes, the volume of a sphere is exactly what fraction of the volume of the cylinder that just fits around it (the circumscribed cylinder)?

Question 9

Which of the following correctly describes the formula for calculating the volume of any pyramid with base area $B$ and perpendicular height $h$ ?

Question 10

A cylindrical water pipe has a radius of $2 \text{ cm}$ and a length of $50 \text{ cm}$ . Calculate the volume of water the pipe can hold in terms of $\pi$ .

Volume Questionbank