Rectangular Prism Volume Calculator
Calculate the volume of a rectangular prism using length, width, and height with our rectangular prism volume calculator. Get results with the formula.
cm
cm
Prism Box Volume
30000cm³
Decimals:
Step-by-Step Mathematical Solution
Formula:V = Length × Width × Height
Steps:
1.Length (l) = 50 cm, Width (w) = 30 cm, Height (h) = 20 cm
2.Formula: V = Length × Width × Height
3.Calculate Base Area: B = l × w = 50 × 30 = 1500
4.Multiply by Height: V = 1500 × 20 = 30000 cm³
Calculated Volume:30000 cm³
What Is a Box / Prism?
A rectangular prism (or cuboid/box) is a 3D solid figure bounded by six rectangular faces. Opposite faces are congruent and parallel.
Volume of a Box / Prism Formula
Standard Formula
V = Length × Width × Height
Formula Variables Explained:
lLength
Base length dimension.
wWidth
Base width dimension.
hHeight
Perpendicular height dimension.
The volume of a rectangular prism is calculated by multiplying its three perpendicular dimensions: V = Length × Width × Height.
How to find the volume of a Box / Prism?
- 1Measure length (l), width (w), and height (h) in identical units.
- 2Multiply length by width to get base area: B = l × w.
- 3Multiply base area by height to get total volume: V = B × h.
Example: Calculate the Volume of a Box / Prism
Example 1: Calculate shipping box volume
Problem: A cardboard box measures 50 cm long, 30 cm wide, and 20 cm high.
Solution Steps:
- V = l × w × h = 50 × 30 × 20 = 30,000 cm³
- In Liters: 30,000 / 1000 = 30 Liters
Final Volume:30,000 cm³ (30 L)
Frequently Asked Questions (FAQ)
Q: What is the difference between a cube and a rectangular prism?
A cube is a special type of rectangular prism where all three dimensions (length, width, height) are equal.