Rectangular Prism Calculator

h =
l =
w =
Units:
 
d = 0
S = 0
V = 0

l = length, w = width, h = height, d = diagonal, S = surface area, V = volume

» Show Work
 

The rectangular prism has six faces that are rectangles, and has same cross-section.

Rectangular prism Formulas

Volume: V = lwh

Surface Area: S = 2(lw + lh + wh)

Space Diagonal: d = √(l2 + w2 + h2)

For example, when h = 2, l = 3, w = 4

 

  1. To calculate d, use the following formula: √(l2 + w2 + h2). When you substitute l, w, and h for their values, you get √(32 + 42 + 22), which equals 5.38516 m.
  2. To calculate S, use the following formula: 2(lw + lh + wh). When you substitute l, w, and h for their values, you get 2(3(4) + 3(2) + 4(2)), which equals 52 m2.
  3. To calculate V, use the following formula: lwh. When you substitute l, w, and h for their values, you get 3(4)(2), which equals 24 m3.

 

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The rectangular prism has six faces that are rectangles, and has same cross-section.