Rectangular Prism Calculator
Calculate volume, surface area, and space diagonal of rectangular prisms with 3D visualization
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Theory & Formula
What is a Rectangular Prism?
A rectangular prism (cuboid) is a 3D solid with 6 rectangular faces. It has length, width, and height dimensions.
Formulas
Volume:
\(V = l \times w \times h\)Surface Area:
\(SA = 2(lw + lh + wh)\)Space Diagonal:
\(d = \sqrt{l^2 + w^2 + h^2}\)Properties
- Has 6 rectangular faces
- Opposite faces are parallel and congruent
- Has 12 edges and 8 vertices
- All angles are right angles (90°)
Example
Find volume and surface area with l=5, w=3, h=4:
\(V = l \times w \times h = 5 \times 3 \times 4 = 60 \text{ cubic units}\)\(SA = 2(lw + lh + wh) = 2(5 \times 3 + 5 \times 4 + 3 \times 4) = 2(15 + 20 + 12) = 94 \text{ square units}\)