Lesson 5.85.7 · 5.8 Catch-Up
Start hereWords, worked example, and sentence starters
Learning target I can show I am caught up on Lessons 5.7 · 5.8 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 5.7 · 5.8: 5.7 Determine Surface Area of Prisms, 5.8 Determine Surface Area of Pyramids. Work one example from each lesson, then prove you're caught up in the mixed practice.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| Surface areaSpanish: Área de superficie | The total area of all the flat sides of a solid. | Paint every outside surface of a box — the total painted area is the surface area |
| Rectangular prismSpanish: Prisma rectangular | A solid box shape with six flat rectangle sides. | A box with 6 flat rectangle sides: top, bottom, front, back, left, right |
| Triangular prismSpanish: Prisma triangular | A solid with two triangle ends and three flat rectangle sides. | Shaped like a tent or a wedge of cheese — 2 triangle ends + 3 rectangle sides |
| FaceSpanish: Cara | One flat side of a solid shape. | A triangular prism has 5 faces: 2 triangles + 3 rectangles |
| NetSpanish: Plantilla (desarrollo plano) | A flat shape that folds up into a solid. | Unfold a triangular prism flat: you see 2 triangles and 3 rectangles side by side |
| Lateral faceSpanish: Cara lateral | The side faces of a solid, not the top or bottom. | 4 on a square pyramid |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
Square base 10 cm; slant height 7 cm.
- Base: 10 × 10 = 100 cm².
- One triangle: ½ × 10 × 7 = 35 cm².
- Four triangles: 140. Add: 100 + 140.
Answer: SA = 240 cm²
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
A rectangular prism is 3 in long, 2 in wide, and 2 in tall. Find its surface area.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- The base is a with an area of .
- Each triangular face has a base of and a slant height of .
- There are triangular faces, so together they cover .
- The surface area is because I added .
Word bank pyramidbaseslant heightlateral faceapextrianglesquarecongruentaddsurface areasquare unitsnet
Watch out!A common mistake
A common mistake in Surface Area of Pyramids is finding the four triangular lateral faces correctly (½ × base edge × slant height, times 4) and then stopping
Lesson 5.85.7 · 5.8 Catch-Up
Catch-UpSkill bridge
Learning target I can show I am caught up on Lessons 5.7 · 5.8 by using each lesson's big idea in mixed practice.
Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 5.7 · 5.8: 5.7 Determine Surface Area of Prisms, 5.8 Determine Surface Area of Pyramids. Work one example from each lesson, then prove you're caught up in the mixed practice.
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1Complete each step, then write the final answer.
A rectangular prism is 6 in long, 2 in wide, and 1 in tall. Find its surface area.
Show your workHint Find each pair of matching faces. Then add.
Final answer: -
2Complete each step, then write the final answer.
A triangular prism is 2 cm long. Each triangle end has a base of 12 cm and a height of 8 cm. The slanted sides are 10 cm. Find the surface area.
Show your workHint Find the 2 triangles. Then find the 3 rectangles. Add all 5 faces.
Final answer: -
3Complete each step, then write the final answer.
A square pyramid has a base that is 2 in by 2 in. Its slant height is 5 in. Find its surface area.
Show your workHint Find the base. Then find the 4 triangle faces. Add them.
Final answer: -
4Complete each step, then write the final answer.
A square pyramid has a base that is 6 cm by 6 cm. Its slant height is 4 cm. Find its surface area.
Show your workHint One triangle face is half of 6 × 4.
Final answer:
Explain your thinkingDisplay B has the largest surface area (280 in²). What contributes more to the total — the base or the lateral faces? Why?
Sentence starter For Display B, the base area is ___ in² and the total lateral area is 4 × ___ = ___ in². The ___ contribute(s) more because ___.