Cuboid (Rectangular Prism) Formulas
Cuboid (Rectangular Prism)
- Volume
- V = l × w × h
- Surface area
- SA = 2(lw + lh + wh)
- Space diagonal
- d = √(l2 + w2 + h2)
- l length
- w width
- h height
Cuboid (Rectangular Prism) formulas explained
A cuboid is a box with three pairs of rectangular faces. Its volume is length × width × height. Below are all the cuboid formulas with what each letter means, a worked example and a free calculator.
- Volume:
V = l × w × h - Surface area:
SA = 2(lw + lh + wh) - Space diagonal:
d = √(l² + w² + h²)
Cuboid (Rectangular Prism) calculator
Cuboid (Rectangular Prism) calculator
Worked example: volume of a cuboid (rectangular prism)
Given Length l = 6 cm, Width w = 4 cm, Height h = 3 cm, substitute the values into each cuboid (rectangular prism) formula:
- V = 6 × 4 × 3 = 72 cm³
- SA = 2(6·4 + 6·3 + 4·3) = 108 cm²
- d = √(6² + 4² + 3²) = 7.81 cm
Cuboid (Rectangular Prism) formulas FAQ
What is the formula for the volume of a cuboid (rectangular prism)?
The volume of a cuboid (rectangular prism) is V = l × w × h, where l is the length, w is the width, h is the height.
What is the formula for the surface area of a cuboid (rectangular prism)?
The surface area of a cuboid (rectangular prism) is SA = 2(lw + lh + wh), where l is the length, w is the width, h is the height.
What is the formula for the space diagonal of a cuboid (rectangular prism)?
The space diagonal of a cuboid (rectangular prism) is d = √(l² + w² + h²), where l is the length, w is the width, h is the height.
Can I download the cuboid (rectangular prism) formulas as a PDF?
Yes. Use the Download PDF button on this page for a free printable cuboid (rectangular prism) formula sheet with a worked example and practice questions.