Geometry · Grades 9 to 10
Volume and surface area
Measure the space inside and the surface of a prism.
The idea
The volume of a rectangular prism is the space it fills: length times width times height.
Surface area is the total area of all six faces. Each pair of opposite faces matches, so surface area is 2(lw + lh + wh).
Worked examples
- How to Find the Volume of a Rectangular Prism Find the volume of a box 4 by 3 by 5. Three steps with V = lwh, the cubic units, and the add-or-multiply mistakes to avoid.
- How to Find the Surface Area of a Rectangular Prism Find the surface area of a box 4 by 3 by 5. Four steps with 2(lw + lh + wh), the three face pairs, and the mistakes to avoid.
- How to Find a Missing Angle in a Triangle Find the third angle when two angles are 65 and 48 degrees. Three steps, the 180-degree reason, and the mistakes to avoid.
Practice this topic
3 problems with answers.