Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Draw a net for this cube on graph paper. Label its sides with measurements.
What is the shape of each face?
What is the area of each face?
What is the surface area of this cube?
What is the volume of this cube?
A second cube has an edge length of 17 units.
Sketch a net for this cube. Label its sides with measurements.
Explain why the area of each face of this cube is square units.
Write an expression for the surface area, in square units.
Write an expression for the volume, in cubic units.
18.3
Activity
Every Cube in the Whole World
Standards Alignment
Building On
Addressing
6.EE.2.a
Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5 - y.
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Write an expression for the area of each face. Label each face with its area.
Write an expression for the surface area.
Write an expression for the volume.
Student Lesson Summary
The volume of a cube with an edge length of is .
A cube has 6 faces that are all identical squares. For a cube with an edge length of , the area of each square face is . This means that the surface area of the cube is .
Glossary
None
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Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.