## Questions and Answers

What is the value of $³√64$?

4, because 4 × 4 × 4 = 64

Find the volume of a cuboid with a length of 5 cm, width of 3 cm, and height of 2 cm.

30 cubic centimeters

What is the surface area of a cube with a side length of 5 cm?

150 square centimeters

What is the significance of the symbol $³√$?

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What is the unit of measurement for the volume of a cuboid?

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## Study Notes

### Cubes

#### Cubic Root

- The cubic root of a number is a value that, when multiplied by itself three times, gives the original number
- Denoted by the symbol √³ or ³√
- Example: ³√27 = 3, because 3 × 3 × 3 = 27

#### Volume of a Cuboid

- The volume of a cuboid is the amount of space inside the cuboid
- Formula: V = l × w × h, where
- V = volume
- l = length
- w = width
- h = height

- Unit: cubic units (e.g. cubic meters, cubic centimeters)

#### Surface Area of a Cube

- The surface area of a cube is the total area of all its faces
- Formula: SA = 6s², where
- SA = surface area
- s = side length

- Since all sides of a cube are equal, the surface area is six times the area of one side

### Cubes and Cuboids

### Cubic Root

- The cubic root of a number is a value that, when multiplied by itself three times, gives the original number
- Denoted by the symbol √³ or ³√
- Example: ³√27 equals 3, because 3 × 3 × 3 equals 27

### Volume of a Cuboid

- The volume of a cuboid is the amount of space inside the cuboid
- Formula: V equals l × w × h
- V represents volume, l represents length, w represents width, and h represents height
- Unit of measurement: cubic units, such as cubic meters or cubic centimeters

### Surface Area of a Cube

- The surface area of a cube is the total area of all its faces
- Formula: SA equals 6s²
- SA represents surface area, s represents side length
- Since all sides of a cube are equal, the surface area is six times the area of one side

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## Description

Test your knowledge of cubes and cuboids, including cubic roots, volume and surface area formulas.