← Back to course
1/6
Week 11 · Build with cubes

Monday

What is volume?
// Volume: unit cubes, layers and length × width × height
⏱ about 15 min

Monday: What is volume?

Hazel the Hedgehog tucks her pencil behind her ear and opens a small wooden box.

"I want to fill this box with my little building cubes," she says softly.

"But how many cubes will fit inside?"

Bennie the Bear sets one cube on the table. "Each side of this cube is 1 centimeter long."

"It is a unit cube. It fills 1 cubic centimeter of space."

Hazel places cubes in neat rows, with no gaps and no overlaps.

"Counting the cubes tells us the volume," says Bennie. "Volume is the space inside."

Learn it: count unit cubes

Volume is the amount of space inside a solid shape.

A unit cube has sides 1 unit long. It has a volume of 1 cubic unit.

Fill a shape with unit cubes, with no gaps and no overlaps.

The number of cubes is the volume, in cubic units.

A box of unit cubes: 3 long, 2 deep and 2 tall

This box has 3 × 2 = 6 cubes in its bottom layer.

It has 2 layers, so it holds 6 + 6 = 12 cubes.

Its volume is 12 cubic units.

COUNT THE CUBES
  • Read the question.
  • Tap your answer.
A box made of unit cubes: two long, two deep and two tallHow many unit cubes make this box?
A box made of unit cubes: two long, three deep and two tallHow many unit cubes make this box?
A box made of unit cubes: four long, two deep and two tallHow many unit cubes make this box?
A box made of unit cubes: three long, three deep and two tallHow many unit cubes make this box?
NAME THE UNITS
  • Read the question.
  • Tap your answer.
A box holds 24 unit cubes that are 1 centimeter on each side. What is its volume?
What do we measure in square units?
What do we measure in cubic units?
A boxWhich unit fits the volume of a big moving box best?
ORDER THE BOXES BY VOLUME
  • Find how many cubes each box holds.
  • Put them from least to greatest volume.
11st
22nd
33rd
44th
SentenceTrue or false?
Volume is measured in cubic units.?
A unit cube has a volume of 1 cubic unit.?
Area and volume use the same units.?
A box with 2 layers of 6 cubes has a volume of 12 cubic units.?
WHY THIS EXERCISEArea is in square units, and volume is in cubic units.
Try it
Find a small box and some blocks or dice.
Fill the box with cubes in neat rows, with no gaps.
Count the cubes. That count is the volume of the box in cubes.
On paper, draw a box made of 8 unit cubes.

Great counting! Tomorrow Hazel finds a faster way with layers.