Cube
What is a Cube?
A cube is a three-dimensional shape that has six square faces, twelve edges, and eight vertices (corners). All the angles in a cube are right angles, and all the sides are equal in length.
Formulas for Cube
- Surface Area of a Cube = 6 * (side length)^2
- Volume of a Cube = (side length)^3
- Diagonal of a Cube = (side length) * √3
Example Problems
Problem 1:
Find the surface area and volume of a cube with a side length of 5 units.
Surface Area = 6 * (5)^2 = 6 * 25 = 150 square units
Volume = (5)^3 = 125 cubic units
Problem 2:
Find the diagonal of a cube with a side length of 8 units.
Diagonal = 8 * √3 ≈ 13.8564 units
Practice Questions
.◂Math Worksheets and Study Guides Fifth Grade. Whole Numbers to Millions
Study Guide
Whole Numbers to Millions 
Worksheet/Answer key
Whole Numbers to Millions Worksheet/Answer key
Whole Numbers to Millions Worksheet/Answer key
Whole Numbers to Millions Worksheet/Answer key
Whole numbers Worksheet/Answer key
Whole numbers Vocabulary/Answer key
Whole Numbers to Millions
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyVocabulary/Answer keyThe resources above cover the following skills:
Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.
Algebra (NCTM)
Use mathematical models to represent and understand quantitative relationships.
Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.
Connections to the Grade 5 Focal Points (NCTM)
Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers. Students also explore contexts that they can describe with negative numbers (e.g., situations of owing money or measuring elevations above and below sea level).