Prism Volume Calculator
Calculate the volume and surface area of a rectangular prism (box) from length, width, and height.
Volume
150.0000
Formule
## Rectangular Prism (Box) Formulas ### Volume **V = l × w × h** ### Surface Area **SA = 2(lw + lh + wh)** ### Space Diagonal **d = sqrt(l² + w² + h²)** The space diagonal runs from one corner to the opposite corner through the interior of the box.
Exemple Résolu
Box with length 10, width 5, height 3.
- 01Volume = 10 × 5 × 3 = 150
- 02Surface area = 2(50 + 30 + 15) = 2 × 95 = 190
- 03Diagonal = √(100+25+9) = √134 ≈ 11.5758
Questions Fréquentes
What is a prism?
A prism is a 3D shape with two parallel, identical bases connected by rectangular faces. A rectangular prism (box) is the most common type.
Is a cube a prism?
Yes, a cube is a special rectangular prism where all three dimensions are equal.
What is the space diagonal?
The space diagonal is the longest line segment inside the box, connecting opposite corners through the interior. It uses a 3D version of the Pythagorean theorem.
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