Week 11 · Build with cubes
Thursday
Hazel's bookshelf
// Volume: unit cubes, layers and length × width × height
⏱ about 15 min
Thursday: Hazel's bookshelf
Chris the Coyote hangs his satchel on a branch and sits on a stump.
"Gather round for the tale of Hazel's bookshelf," he says.
"Hazel built a shelf from two wooden boxes, side by side."
"The big box was 4 feet long, 2 feet deep and 3 feet tall."
"The small box was 2 feet long, 2 feet deep and 1 foot tall."
"Ferris asked how much space the whole shelf took up."
"Hazel smiled. She found each volume, then she added them together."
Story: Add the volumes
Big box: 4 × 2 × 3 = 24 cubic feet.
Small box: 2 × 2 × 1 = 4 cubic feet.
Together: 24 + 4 = 28 cubic feet.
The boxes do not overlap, so we can add their volumes.
QUESTIONS ABOUT THE STORY
- Read the question.
- Tap your answer.
What is the volume of the big box in cubic feet?
What is the volume of the small box in cubic feet?
What is the volume of the whole shelf in cubic feet?
More shapes made of two boxes
ADD TWO VOLUMES
- Read the question.
- Tap your answer.
(3 × 2 × 2) + (4 × 2 × 1) = ?
(5 × 3 × 2) + (2 × 3 × 2) = ?
(6 × 4 × 1) + (6 × 4 × 2) = ?
(10 × 2 × 3) + (5 × 2 × 3) = ?
SOLVE THE STORY
- Read the question.
- Tap your answer.
Two toy chests sit side by side. One is 8 × 4 × 3 feet. The other is 4 × 4 × 3 feet. What is their total volume?
An L-shaped garden bed is made of two boxes. They are 6 × 5 × 2 feet and 3 × 5 × 2 feet. How much soil fills it?
Bennie stacks a 2 × 2 × 2 box on a 4 × 2 × 1 box. What is the total volume?
WHICH FITS THE STORY?
- Read the question.
- Tap your answer.
Hazel finds the space inside one box. What does she find?
Two boxes do not overlap. How do we find their total volume?
Find each volume first, then add.
| Sentence | True or false? |
|---|---|
| 4 × 2 × 3 + 2 × 2 × 1 = 28 | ? |
| (3 × 2 × 2) + (4 × 2 × 1) = 20 | ? |
| (6 × 4 × 1) + (6 × 4 × 2) = 48 | ? |
| (5 × 3 × 2) + (2 × 3 × 2) = 42 | ? |
WHY THIS EXERCISE(6 × 4 × 1) + (6 × 4 × 2) is 24 + 48 = 72.
Try it
Find two boxes at home and set them side by side.
Measure each box in inches.
Find the volume of each box.
Add the two volumes to find the space they take up together.
Measure each box in inches.
Find the volume of each box.
Add the two volumes to find the space they take up together.
On paper, draw a shape made of two boxes and write each volume.
What a shelf! Tomorrow Freddy hosts a volume review game.