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.

Volume: V = lwh

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

Space Diagonal: d = √(l^{2} + w^{2} + h^{2})

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

- To calculate d, use the following formula: √(l
^{2}+ w^{2}+ h^{2}). When you substitute l, w, and h for their values, you get √(3^{2}+ 4^{2}+ 2^{2}), which equals 5.38516 m. - 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 m
^{2}. - 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 m
^{3}.

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