Volume of a Cuboid and Cube

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(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) Find Missing Dimensions of Cuboids: 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 Composite Shapes: Can be broken down into smaller cuboids; find each volume individually and add them.
(2:07) Real-Life Application of Cuboid Volume: Calculating how long it takes to fill a container involves finding its volume first.

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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 and 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

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Volume of a Cuboid and Cube

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

$150 \ \text{cm}^3$

$25 \ \text{cm}^3$

$50 \ \text{cm}^3$

$125 \ \text{cm}^3$

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Q: What is its volume?

$30 \ \text{cm}^3$

$60 \ \text{cm}^2$

$60 \ \text{cm}^3$

$30 \ \text{cm}^2$

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

2 cm

6 cm

4 cm

8 cm

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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?

5 cm

3 cm

4 cm

2 cm

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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?

10 cm

15 cm

8 cm

12 cm

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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?

$560 \ \text{cm}^3$

$370 \ \text{cm}^3$

$720 \ \text{cm}^3$

$416 \ \text{cm}^3$

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