Volume & Capacity
Measure liquids and calculate volume of 3D shapes
Start with the basics and progress through 12 lessons. Each lesson builds on the previous one.
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Test Your Knowledge
10 questions, new mix each time (from 210)
In This Topic (12 lessons)
Introduction to Volume
Learn what volume is and how to measure the space inside 3D shapes.
Metric Volume Units (mL, L)
Learn how to measure and convert between milliliters and liters.
Volume of Rectangular Prisms
Learn how to calculate the volume of rectangular prisms and cubes using length, width, and height.
Imperial Volume Units (cups, pints, gallons)
Learn the US customary units for liquids, from teaspoons to gallons, how big each one is, and how to convert between neighbouring units.
Converting Metric Volume Units
Convert between liters, deciliters, centiliters and milliliters, and link them to cubic centimeters and cubic meters.
Converting Imperial Volume Units
Convert between gallons, quarts, pints, cups and fluid ounces in several steps, and switch between US units and liters or milliliters.
Volume of Cubes
Learn to find the volume of a cube with V = s³, work with whole and decimal edges, find the edge from the volume and link cm³ to liters.
Volume of Cylinders
Learn how to find the volume of a cylinder with V = πr²h, use the radius instead of the diameter, and convert cm³ to liters for cans, tanks and glasses.
Volume of Cones
Learn the cone volume formula V = (1/3)πr²h, why a cone holds one third of a cylinder, and how to use the perpendicular height.
Volume of Spheres
Learn to find the volume of a sphere and a hemisphere with V = (4/3)πr³, and work backwards from a volume to the radius.
Volume of Pyramids
Learn how to find the volume of square, rectangular and triangular pyramids with V = (1/3)Bh, and how to get the height from the slant height.
Volume of Composite Shapes
Learn how to find the volume of solids built from cubes, prisms, cylinders, cones, spheres and pyramids by adding or subtracting the volumes of their parts.
Volume measures 3D space; capacity measures how much a container can hold. From cooking recipes to swimming pool calculations, understanding liters, milliliters, gallons, and cups is essential for everyday life.
What You'll Learn
- Convert within the metric volume system
- Convert within the imperial capacity system
- Convert between metric and imperial units
- Calculate volume of 3D shapes
- Solve real-world capacity problems
Frequently Asked Questions
What is the difference between volume and capacity?
Volume is the amount of 3D space occupied. Capacity is how much a container can hold. A box has volume; a bottle has capacity.
What are key metric conversions?
1000 mL = 1 L, 1000 L = 1 kL. Also, 1 mL = 1 cm³ (cubic centimeter).
What are key imperial conversions?
8 fluid ounces = 1 cup, 2 cups = 1 pint, 2 pints = 1 quart, 4 quarts = 1 gallon. 1 gallon ≈ 3.8 liters.