High school geometry surface area of prisms practice quiz with answers

📚 Topic Summary

The surface area of a prism is the total area of all its faces. To find it, calculate the area of each face (rectangles and triangles) and then add them all up. Remember to include both bases! For a right prism, the lateral surface area is simply the perimeter of the base multiplied by the height of the prism.

Let's break it down: Surface Area = Area of Bases + Area of Lateral Faces.

🧠 Part A: Vocabulary

Match the terms with their definitions:

1. Term: Base
2. Term: Lateral Face
3. Term: Height of Prism
4. Term: Surface Area
5. Term: Prism

1. Definition: The distance between the two bases of a prism.
2. Definition: A polyhedron with two congruent and parallel faces (bases) and other faces that are parallelograms.
3. Definition: The faces of a prism that are not the bases.
4. Definition: The total area of all the faces of a three-dimensional object.
5. Definition: The two congruent and parallel faces of a prism.

✏️ Part B: Fill in the Blanks

The surface area of a prism is the sum of the areas of all its _________. For a rectangular prism, the formula is $SA = 2lw + 2lh + 2wh$, where l is _________, w is _________, and h is _________. The lateral surface area of a right prism is the _________ of the base multiplied by the _________ of the prism.

🤔 Part C: Critical Thinking

Explain in your own words how the formula for the surface area of a cube ($SA = 6s^2$) is derived, relating it to the general concept of prism surface area.