Lesson 5.65.5 · 5.6 · 5.10 Catch-Up
Start hereWords, worked example, and sentence starters
Learning target I can show I am caught up on Lessons 5.5 · 5.6 · 5.10 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 5.5 · 5.6 · 5.10: 5.5 Determine the Volume of Rectangular Prisms, 5.6 Represent Three-Dimensional Figures in Two Dimensions, 5.10 Volume of Rectangular Prisms. 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 |
|---|---|---|
| VolumeSpanish: Volumen | How much space is inside a solid shape. | A box 3 × 2 × 4 holds 24 unit cubes, so V = 24 cubic units |
| Rectangular prismSpanish: Prisma rectangular | A solid box shape with six flat rectangle sides. | A cereal box or shoe box — it has length, width, and height |
| Cubic unitsSpanish: Unidades cúbicas | The units used to measure space inside, like cubic inches. | A tiny cube that is 1 in × 1 in × 1 in = 1 in³ (one cubic inch) |
| Length, width, heightSpanish: Largo, ancho, altura | How long, how wide, and how tall a box is. | V = l × w × h: for a box 5 × 3 × 2, volume = 30 cubic units |
| NetSpanish: Plantilla (desarrollo plano) | A flat shape that folds up into a solid. | unfolded box |
| EdgeSpanish: Arista | The line where two flat sides of a solid meet. | A cube has 12 edges — 4 along the top, 4 along the bottom, 4 vertical |
How it worksWorked example
These numbers are not on your problems. The steps are. Follow them with your own numbers.
Net for a box 5 cm × 3 cm × 2 cm.
- Bottom and top: 5 cm by 3 cm.
- Front and back: 5 cm by 2 cm.
- Two sides: 3 cm by 2 cm.
Answer: 6 rectangles, 3 matching pairs
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
A box is 3 in long, 2 in wide, and 4 in tall. Find its volume.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- This solid has faces shaped like .
- The net needs flat pieces because .
- I attached each to a side of the .
- When the net folds up, the meets the .
Word bank netfacefoldunfoldbasepyramidprismcubetrianglesquarerectangletwo-dimensionalthree-dimensional
Watch out!A common mistake
A common mistake in Volume of Rectangular Prisms is rounding a fractional edge length to the nearest whole number before multiplying, instead of using the exact fraction or decimal. For a box that is 2 ft × 1.5 ft × 1 ft, a student might round 1.5 down to 1 and compute 2 × 1 × 1 = 2 ft³, but the correct volume uses the exact edge length: 2 × 1.5 × 1 = 3 ft³
Lesson 5.65.5 · 5.6 · 5.10 Catch-Up
Catch-UpSkill bridge
Learning target I can show I am caught up on Lessons 5.5 · 5.6 · 5.10 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 5.5 · 5.6 · 5.10: 5.5 Determine the Volume of Rectangular Prisms, 5.6 Represent Three-Dimensional Figures in Two Dimensions, 5.10 Volume of Rectangular Prisms. 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 box is 2 units long, 2 units wide, and 3 units tall. Find its volume.
Show your workHint Count the cubes in one layer. Then multiply by the layers.
Final answer: -
2Complete each step, then write the final answer.
A box is 5 cm long, 4 cm wide, and 2 cm tall. Find its volume.
Show your workHint Multiply 5 × 4 first. Then multiply by 2.
Final answer: -
3Complete each step, then write the final answer.
A box is 3 in long, 3 in wide, and 1 in tall. Find its surface area.
Show your workHint Find each pair of faces: top and bottom, front and back, left and right.
Final answer: -
4Complete each step, then write the final answer.
A cube has edges of 2 cm. Find its surface area.
Show your workHint A cube has 6 faces, and they are all the same square.
Final answer: -
5Complete each step, then write the final answer.
A box is 3 in long, 2 in wide, and 0.5 in tall. Find its volume.
Show your workHint Find the base area. Then take half of it, because the height is 0.5.
Final answer: -
6Complete each step, then write the final answer.
A box is 4 ft long, 3 ft wide, and 1.5 ft tall. Find its volume.
Show your workHint Find the base area. Then multiply by 1.5.
Final answer:
Explain your thinkingCapsules A and B have the same volume (3 ft³) but different dimensions. Why? Which design would you choose and why?
Sentence starter Capsules A and B both have V = ___ because ___ × ___ × ___ = ___ × ___ × ___. I'd choose ___ because ___.