Cuboid Surface Area Calculator

Length (l):

Width (w):

Height (h):

Surface Area (s, cm²): Surface Area (s, m²): Surface Area (s, mm²): Surface Area (s, in²): Surface Area (s, ft²):

Diagonal (d, cm): Diagonal (d, m): Diagonal (d, in): Diagonal (d, ft):

1. What is a Cuboid Surface Area Calculator?

Definition: This calculator computes the total surface area and space diagonal of a cuboid (rectangular prism) using its length (l), width (w), and height (h).

Purpose: Useful for geometry, construction, and design applications, such as calculating material needs for coating or wrapping a cuboidal object and determining its spatial diagonal.

2. How Does the Calculator Work?

Formulas:

Total Surface Area (s): \( s = 2(lw + wh + lh) \)
Space Diagonal (d): \( d = \sqrt{l^2 + w^2 + h^2} \)

Explanation: Inputs are converted to meters, and the surface area and diagonal are calculated. Surface area is converted to cm², m², mm², in², and ft²; diagonal is converted to cm, m, in, and ft.

3. Importance of Cuboid Surface Area and Diagonal Calculation

Details: Surface area is essential for determining material requirements, such as paint or wrapping paper. The diagonal is useful for spatial measurements, such as fitting a cuboid through a diagonal space.

4. Using the Calculator

Tips: Enter length (l), width (w), and height (h) in units (mm, cm, m, in, ft; >0). Results include surface area (s) in cm², m², mm², in², ft², and diagonal (d) in cm, m, in, ft.