Main content

Unit: Volume and surface area

Volume of rectangular prisms

Learn
Volume intro
(Opens a modal)
Measuring volume with unit cubes
(Opens a modal)
Measuring volume as area times length
(Opens a modal)
Volume of a rectangular prism
(Opens a modal)
Volume of triangular prism & cube
(Opens a modal)
Volume formula intuition
(Opens a modal)
Volume of rectangular prisms review
(Opens a modal)
Conversion between metric units
(Opens a modal)
Practice
Volume of rectangular prisms with unit cubes
7 questions
Volume of rectangular prisms
7 questions

Volume with fractions

Learn
Volume with fractional cubes
(Opens a modal)
Volume of a rectangular prism: fractional dimensions
(Opens a modal)
Volume of a rectangular prism: word problem
(Opens a modal)
Practice
Volume with cubes with fraction lengths
4 questions
Volume with fractions
4 questions
Volume by multiplying area of base times height
4 questions
Volume word problems: fractions & decimals
4 questions

Quiz 1

Identify your areas for growth in these lessons:
Volume of rectangular prisms
Volume with fractions

Surface area

Learn
Intro to nets of polyhedra
(Opens a modal)
Surface area using a net: triangular prism
(Opens a modal)
Surface area of a box (cuboid)
(Opens a modal)
Surface area of a box using nets
(Opens a modal)
Surface area using a net: rectangular prism
(Opens a modal)
Surface area review
(Opens a modal)
Practice
Nets of polyhedra
4 questions
Surface area using nets
4 questions
Surface area
4 questions
Volume and surface area word problems
4 questions

Quiz 2

Identify your areas for growth in this lesson:
Surface area

Volume of cones, cylinders, and spheres

Learn
Cylinder volume & surface area
(Opens a modal)
Volume of a cone
(Opens a modal)
Volume of a sphere
(Opens a modal)
Volume formulas review
(Opens a modal)
Practice
Volume of cylinders
4 questions
Volume of cones
4 questions
Volume of spheres
4 questions
Volume of cylinders, spheres, and cones word problems
4 questions

Quiz 3

Identify your areas for growth in this lesson:
Volume of cones, cylinders, and spheres

Solid geometry

Learn
No videos or articles available in this lesson
Practice
Volume and surface area of cylinders
7 questions
Solid geometry word problems
4 questions

Surface and volume density

Learn
Density word problem: blimp
(Opens a modal)
Practice
Density word problems
4 questions

Quiz 4

Identify your areas for growth in these lessons:
Solid geometry
Surface and volume density

Cross sections of 3D objects

Learn
Slicing a rectangular pyramid
(Opens a modal)
Ways to cross-section a cube
(Opens a modal)
Rotating 2D shapes in 3D
(Opens a modal)
Practice
Cross sections of 3D objects (basic)
4 questions
Cross sections of 3D objects
4 questions
Rotate 2D shapes in 3D
4 questions

Quiz 5

Identify your areas for growth in this lesson:
Cross sections of 3D objects

Koch snowflake fractal

Learn
Koch snowflake fractal
(Opens a modal)
Area of Koch snowflake (1 of 2)
(Opens a modal)
Area of Koch snowflake (2 of 2)
(Opens a modal)

Heron's formula

Learn
Heron's formula
(Opens a modal)
Proof of Heron's formula (1 of 2)
(Opens a modal)
Proof of Heron's formula (2 of 2)
(Opens a modal)

Unit test

Test your understanding of Volume and surface area with these 13 questions.

About this unit

Volume and surface area help us measure the size of 3D objects. We’ll start with the volume and surface area of rectangular prisms. From there, we’ll tackle trickier objects, such as cones and spheres.