Geometry and Measures

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Volume of a Cuboid and Cube

Geometry and Measures Volume of a Cuboid and Cube

🎬 Video Tutorial

  • (0:01) Volume of a Cuboid: $\text{V} = \text{length} \times \text{width} \times \text{height}$
  • (0:28) Volume of a Cube: $\text{V} = \text{side}^3$
  • (0:52) Finding Missing Dimensions: If the volume and two dimensions of a cuboid are known, you can rearrange the volume formula to find the missing dimension.
  • (1:15) Volume of Complex Shapes: Can be broken down into smaller cuboids; find each volume individually and add them.
  • (2:07) Real-Life Application: Calculating how long it takes to fill a container involves finding its volume and converting units.

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📂 Revision Cards

Diagram showing the volume formulas of a cuboid and a cube. Cuboid: 5 cm x 3 cm x 2 cm, volume 30 cm³. Cube: 5 cm sides, volume 125 cm³.
1) Volume of Cuboids an Cubes
Diagram shows the volume calculation of a complex shape divided into two cuboids A and B, with their respective dimensions and total volume summation.
2) Volume of Complex Solids
The application of cuboid volume formula to calculate water container problem, with dimensions 50 cm x 30 cm x 20 cm, using a flow rate of 10 L/min.
3) Volume of Cuboid Application

🍪 Quiz

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Volume of a Cuboid and Cube

1 / 6

Q: What is the volume of a cube with side length 5 cm?

A cube with each side of 5 cm.

2 / 6

Q: What is its volume?

An cuboid with dimensions labelled as 5 cm length, 4 cm height, and 3 cm width.

3 / 6

Q: A cube has a volume of $64 \ \text{cm}^3$. What is the length of one side?

A cuboid box with volume labelled as 60 cm³ and one side length is unknown.

4 / 6

Q: A cuboid has a volume of $45 \ \text{cm}^3$, with a length of 5 cm and a width of 3 cm. What is its height?

A cuboid with volume labelled as 45 cm³, dimensions of 5 cm and 3 cm, and the height marked as unknown

5 / 6

Q: A cuboid has a volume of 540 cm³. Its height is 9 cm and its width is 6 cm. What is the length of the cuboid?

A cuboid with volume labelled as 540 cm³, dimensions of 6 cm and 9 cm, and the length marked as unknown.

6 / 6

Q: A complex solid consists of a cuboid and a cube. The cuboid has a length of 10 cm, a width of 5 cm, and a height of 4 cm. The cube has a side length of 6 cm. What is the total volume of the solid?

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