Volume Word Problems

If you’re studying mathematics, you’re likely to come across a range of word problems that involve volume calculations. Whether you’re working on geometry, physics, or engineering problems, understanding how to calculate the volume of shapes like boxes, cylinders, and spheres is essential.

In this article, we’ll take a look at some volume word problems and their solutions. From calculating the volume of a rectangular box to a sphere with a given radius, we’ll show you how to approach these types of problems and give you step-by-step solutions.

Here are some volume word problems and their solutions.

1. A box has a length of 5 units, a width of 4 units, and a height of 3 units. What is the volume of the box?

Solution: The volume of the box can be calculated by multiplying its length, width, and height: 5 units * 4 units * 3 units = 60 cubic units.

Example:
You have a rectangular box that is 5 inches long, 4 inches wide, and 3 inches tall. What is the volume of the box?

Solution: The volume of the box can be calculated as 5 inches * 4 inches * 3 inches = 60 cubic inches.

2. A cylinder has a radius of 3 units and a height of 4 units. What is the volume of the cylinder?

Solution: The volume of the cylinder can be calculated using the formula: π * r^2 * h, where r is the radius and h is the height.
So, the volume of the cylinder can be calculated as π * 3^2 * 4 = 36π cubic units.

Example:
You have a cylinder with a radius of 2 feet and a height of 5 feet. What is the volume of the cylinder?

Solution: The volume of the cylinder can be calculated as π * 2^2 * 5 = 20π cubic feet.

A sphere has a radius of 4 units. What is the volume of the sphere?

Solution: The volume of the sphere can be calculated using the formula: (4/3) * π * r^3, where r is the radius.
So, the volume of the sphere can be calculated as (4/3) * π * 4^3 = (4/3) * π * 64 = 256π/3 cubic units.

Example:
You have a sphere with a radius of 3 inches. What is the volume of the sphere?

Solution: The volume of the sphere can be calculated as (4/3) * π * 3^3 = (4/3) * π * 27 = 36π cubic inches.

Grade 6 Science Worksheets

• Inquiry process
• Nature of Science
• Scientific Inquiry
• Inquiry, Analysis and Problem Solving
• Ethical Practices
• Science and Society
• Biotic and Abiotic Factors
• Impact of Organisms
• Adaptation
• Spheres of Earth
• Natural Resources
• Environmental Issues
• Conservation of Earth
• Understanding Technology
• Abilities To Do Technological Design
• Structure of Earth
• Solar System
• Rocks and Fossils
• Earth Systems
• Plate Tectonics
• Evolution
• Magnetic Field of Earth
• Geologic Time
• Materials and Processes That Shape a Planet
• Astronomy
• Ecology
• Energy
• Kinetic and Potential Energy
• Energy Transfer
• Matter and its Structure
• States of Matter
• Physical and Chemical Changes
• Force and Motion
• Electricity and Magnetism
• Wave Interactions
• Sound
• Light
• Introduction to Life Science
• The Origin & History of Life On Earth
• Plant and Animal Cells
• Parts of a Cell
• The Cell Cycle
• How Living Organisms Get Energy
• Classification of Organisms
• How Plants Grow & Reproduce
• The Human Respiratory System
• The Human Cardiovascular System
• The Human Digestive System
• The Human Endocrine Systems
• The Human Nervous System
• The Human Muscular System
• The Human Skeletal System

Grade 6 Math Worksheets

• Probability
• Ratio
• Sequence & Patterns
• Division Word Problems  (New)
• Solving two step equations (New)
• One Step Equation  (New)
• Place Value  (New)
• Two Step Equation  (New)
• To convert percents to decimals and vice versa  (New)
• To convert Percents to Fractions and vice versa  (New)