免费棱柱体积计算器
根据底面积和高度计算棱柱体积。
体积
150.0000
表面积190.0000
Diagonal11.5758
公式
## 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.
计算示例
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
常见问题
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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