Math Quiz: Cubes and Cuboids

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