Volume
Unit Review Sheet
These facts and definitions should be mastered throughout this unit. This page can be used for periodic review and study as you are finishing the unit and in the future.
Facts and Definitions
Lesson 1: Perimeter and Area Review
- Perimeter is the distance around a shape.
- To find the perimeter of a rectangle, add together the length of all of the sides
(2 × length) + (2 × width). To find the perimeter of a square, multiply the length of one side by 4. - Area is the measure of the space inside a shape or boundary.
- To find the area of a rectangle, multiply the length by the width (L×W). To find the area of a square, multiply the length of one side by itself. Area is always expressed in square units.
Lesson 2: Rectangular Prisms
- Three-dimensional (3D) shapes have 3 measurements: length, width, and height.
- A polyhedron is a 3D shape with four or more faces that are polygons.
- Face: a 2D polygon that forms a side of a polyhedron
- Prism: a 3D shape that has congruent, parallel polygons as bases and flat rectangular faces as sides
- Prisms are named after the shapes of their bases.
- Bases: the parallel and congruent faces of a prism
- Rectangular prism: a 3D shape that has rectangles or squares as bases
- Cube: a 3D shape whose faces are all squares
Lesson 3: From Area to Volume
- Volume: the amount of space a 3D shape takes up
- Cubic units: the units used when measuring volume
- Isometric drawing is a way to draw 3D shapes on a 2D surface, like paper.
Lesson 4: Volume and Unit Cubes
- Volume is expressed in cubic units. For example, a rectangular prism might have a volume of 48 cubic cm, which can also be written as 48 cm³.
Lesson 5: Unit Cubes to Algorithm
- The formula for finding the volume of a rectangular prism is
length × width × height = volume (l × w × h = V).
Lesson 6: Practicing the Algorithm
- Because of the commutative and associative properties of multiplication, you can multiply the length, width, and height of a rectangular prism in any order to find its volume.
Lesson 7: Extending Work With Volume
- If you know the area of the base (l × w) of a rectangular prism, you can use that number to find volume. V = B × h.
- Complex rectangular prisms (also called composite rectangular prisms) are shapes made up of 2 or more rectangular prisms.
- To find the volume of a complex rectangular prism, add together the volumes of the individual rectangular prisms that make up the complex shape.
Lesson 8: Problem Solving
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Lesson 9: Unit Review and Test
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Final Project: Volume Town
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