📚 Topic Summary
Surface area is the total area of all the faces and surfaces of a 3D shape. For prisms and pyramids, we need to find the area of each face and then add them all up. Prisms have two identical bases and rectangular lateral faces, while pyramids have one base and triangular lateral faces. Knowing the formulas for the areas of rectangles, triangles, and other polygons is essential!
Interactive practice means you can check your answers as you go, helping you learn faster and remember better. Good luck!
🧠 Part A: Vocabulary
Match each term with its correct definition:
| Term |
Definition |
| 1. Base |
a) The sum of the areas of all the faces of a 3D shape. |
| 2. Lateral Face |
b) A polygon that forms the bottom of a pyramid or either end of a prism. |
| 3. Surface Area |
c) A face of a prism or pyramid that is not a base. |
| 4. Prism |
d) A 3D shape with two parallel and congruent bases connected by rectangular faces. |
| 5. Pyramid |
e) A 3D shape with a polygonal base and triangular faces that meet at a common vertex. |
(Drag and drop the correct definition next to each term)
📐 Part B: Fill in the Blanks
Complete the following paragraph using the words provided: area, faces, base, prism, pyramid.
The surface _______ of a 3D shape is found by adding up the _______ of all its _______. A _______ has two identical bases, while a _______ has only one _______.
🤔 Part C: Critical Thinking
Explain, in your own words, why understanding surface area is important in real-world applications. Provide at least two specific examples.