Rectangular Prism Calculator

Created by Hanna Pamuła, PhD candidate
Reviewed by Bogna Szyk
Last updated: May 18, 2022
A cuboid volume is the product of all three side lengths. The cube is a special case of the cuboid, where all three sides are the same length.
Hanna Pamuła, PhD candidate
image of a rectangular prism, with length, height, width and diagonal marked
Length (l)
in
Width (w)
in
Height (h)
in
Surface area
in²
Volume
cu in
Diagonal (d)
in
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Sum of series

The sum of finite arithmetic and geometric progressions and the sum of an infinite geometric progression are found. Known equations are used to evaluate the sums, so an iterative approach is not required. Infinite geometric series can only be solved if b lies between -1 and 1. Fill in the variables according to the diagram, and the sums will appear. An arithmetic series is solved by adding the first and last terms and then multiplying by half of the number of terms. A geometric series is solved by multiplying the entire sum by b and subtracting the result from the original sum. For example, to add all the numbers from 1 to 100, make a=0, b=1, n=100 (and look at arithmetic series). To calculate z, the input n is not required. Note that in the special case of b=-1, z is undefinable but not infinite.
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