Lesson · Grade 6 · Mathematics
Volume of a Rectangular Prism
- Grade 6
- Mathematics
- 1 min 12 s
- British Columbia
- BC6-MA-36
A box 6 cm long, 3 cm wide and 4 cm tall is filled with 1 cm cubes: a row of 6, then 3 rows to make a layer of 18, then 4 layers to make 72 cubes. That count becomes the rule volume = length × width × height, worked out as 6 × 3 × 4 = 72 cm³, and the video ends on that one-line recap.
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In one sentence
The question this lesson answers
How much space is inside this box?
The amount of space inside the box is called its volume.
Transcript
What the lesson says
How much space is inside this box?
The amount of space inside the box is called its volume.
The box is 6 centimetres long, 3 centimetres wide and 4 centimetres tall.
To measure it, we fill the box with cubes that are 1 centimetre on every side.
Each small cube has a volume of 1 cubic centimetre.
A row of 6 cubes fits along the length.
3 rows cover the bottom, so one layer holds 6 times 3, or 18 cubes.
The box is 4 centimetres tall, so 4 layers fit inside.
4 layers of 18 cubes make 72 cubes.
So the volume of a rectangular prism is length times width times height.
For this box, 6 times 3 times 4 equals 72.
The volume of the box is 72 cubic centimetres.
Remember: the volume of a rectangular prism is length times width times height.
Curriculum
Where this fits
- British Columbia, Grade 6
Mathematics, Geometry and measurement: volume and capacityBC6-MA-36
Previous: How Much Does a Box Hold? Cubic Centimetres, Millilitres and LitresNext: Classifying Triangles by Sides and by Angles
- British Columbia, Grade 7
Mathematics, Geometry and measurement: volume of rectangular prisms and cylindersBC7-MA-53
Previous: Volume Is the Area of the Base Times the HeightNext: Volume of a Cylinder: Base Area Times Height
This lesson is also listed in Grade 7.
The outcomes and strands follow the British Columbia curriculum.
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