Lesson 5.55.5 Small Group · Group 1
Start hereWords, worked example, and sentence starters
Learning target With my small group, I can find the volume of a rectangular prism with whole-number edges using length × width × height — one step at a time, with support.
Why This Matters This is your support small group for Lesson 5.5. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.
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. | V = l × w × h |
| Rectangular prismSpanish: Prisma rectangular | A solid box shape with six flat rectangle sides. | a cereal box |
| Cubic unitsSpanish: Unidades cúbicas | The units used to measure space inside, like cubic inches. | cm³, in³, ft³ |
| 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. | A cross-shaped pattern of 6 rectangles folds into a rectangular 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.
A box is 6 cm long, 3 cm wide, and 4 cm tall.
- One layer: 6 × 3 = 18 cubes.
- 4 layers stack up.
- 18 × 4 = 72.
Answer: V = 72 cm³
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 5 units long, 2 units wide, and 2 units tall. Find its volume.
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- The length is , the width is , and the height is .
- The base area is × = square units.
- The volume is cubic units.
- I used cubic units instead of square units because .
Word bank volumerectangular prismlengthwidthheightbase arealayerunit cubecubic unitsmultiplysolidface
Watch out!A common mistake
A common mistake in Volume with Whole Number Edges is multiplying only two of the three edges and stopping there
Lesson 5.55.5 Small Group · Group 1
Group 1Supported practice
Learning target With my small group, I can find the volume of a rectangular prism with whole-number edges using length × width × height — one step at a time, with support.
Why This Matters This is your support small group for Lesson 5.5. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.
-
1Complete each step, then write the final answer.
Each layer is 4 by 3. There are 2 layers. A box is 4 units long, 3 units wide, and 2 units tall. Find its volume.
- 1How many cubes cover the bottom layer? Multiply 4 × 3.
- 2How many layers are there?
- 3Multiply by the height. What is the volume?
Final answer: -
2Complete each step, then write the final answer.
A box is 7 cm long, 2 cm wide, and 5 cm tall. Find its volume.
- 1Find the area of the base: length × width.
- 2Multiply by the height. What is the volume?
- 3What units does the volume use?
Final answer: -
3Complete each step, then write the final answer.
A box is 3 units long, 3 units wide, and 2 units tall. Find its volume.
Show your workHint Count the cubes in one layer. Then multiply by the number of layers.
Final answer: -
4Complete each step, then write the final answer.
A box is 10 in long, 6 in wide, and 4 in tall. Find its volume.
Show your workHint Use V = l × w × h. Multiply two edges first.
Final answer: -
5Complete each step, then write the final answer.
A time capsule box is 9 inches long, 6 inches wide, and 4 inches tall. How many cubic inches of space are inside?
Show your workHint The space inside is the volume. Multiply all three edges.
Final answer: -
6Complete each step, then write the final answer.
Mo says a box 6 cm long, 2 cm wide, and 3 cm tall has a volume of 11 cubic centimeters, because 6 + 2 + 3 = 11. What is the correct volume?
Show your workHint Mo added the edges. How do you find the number of cubes?
Final answer:
Explain your thinkingWhy do we multiply the three edges and not add them? Use Mo’s mistake and the layers of cubes to explain.
Sentence starter One layer has ___ cubes, and there are ___ layers. · Adding the edges does not work because ___.