How To Find Lateral Surface Area Of A Rectangular Prism
Rectangular Prism Calculator (Cuboid)
Rectangular Prism Shape
l = length
due west = width
h = height
d = diagonal
Southtot = full surface area
Slat = lateral surface area
Sacme = superlative surface area
Sbot = lesser surface surface area
V = volume
Reckoner Use
Enter any 3 variables for a rectangular prism into this online computer to calculate the other iii unknown variables. A cube is a special case where l = due west = h for a rectangular prism.
Units: Annotation that units are shown for convenience but practice not affect the calculations. The units are in identify to requite an indication of the order of the results such as ft, ft2 or ftthree. For example, if yous are starting with mm and yous know h, 50 and w in mm, your calculations will result with d in mm, Southward in mm2 and V in mm3.
Formulas for a rectangular prism:
- Volume of Rectangular Prism:
- V = lwh
- Surface Area of Rectangular Prism:
- Due south = 2(lw + lh + wh)
- Infinite Diagonal of Rectangular Prism: (like to the distance between 2 points)
- d = √(502 + west2 + h2)
A cube is a special case where l = w = h. Then you lot can observe the volume of a cube or surface expanse of a cube past setting these values equal to each other.
Calculations for a rectangular prism:
1. Given the length, width and pinnacle detect the volume, surface expanse and diagonal of a rectangular prism
- h, 50 and due west are known; detect V, S and d
- 5 = lwh
- S = 2(lw + lh + wh)
- d = √(l2 + due west2 + h2)
2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism
- S, 50 and west are known; notice h, V and d
- h = (S - 2lw) / (2l + 2w)
- 5 = lwh
- d = √(l2 + due west2 + hii)
3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism
- 5, l and w are known; notice h, Due south and d
- h = V / lw
- S = 2(lw + lh + wh)
- d = √(fifty2 + westwardii + h2)
iv. Given the diagonal, length and width find the height, volume and surface expanse of a rectangular prism
- d, 50 and west are known; observe h, Five and Due south
- h = √(d2 - fifty2 - west2)
- 5 = lwh
- S = ii(lw + lh + wh)
For more data on cuboids see: Weisstein, Eric W. "Cuboid." From MathWorld--A Wolfram Web Resource, Cuboid.
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Source: https://www.calculatorsoup.com/calculators/geometry-solids/rectangularprism.php
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