Rectangular Cuboid Volume & Surface Area Calculator, Formulas & Solved Example



Cuboid Volume & Surface Area Calculator




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rectangular cuboid calculator - step by step calculation, formulas & solved example problem to find the volume & surface area for the given values of length l, width w & height h in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, cuboid is a solid object which has six rectangular sides at 90-degrees or right angles to each other. The cuboid volume & surface area formula, solved example & step by step calculations may useful for users to understand how the input values are being used in such calculations. Also this featured rectangular prism calculator uses the various conversion functions to find its area in SI or metric or US customary units.

Cuboid & its Formulas

The following mathematical formula is used in this rectangular prism calculator to find the volume & surface area of a cuboid for the given input value of length l, width w & height h.

formula to find rectangular prism or cuboid volume & surface area

Solved Example

The below solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the cuboid volume & surface area.

Example Problem :
Find the volume & surface area of a rectangle cuboid having the length l = 12 cm, width w = 7 cm & height h = 6 cm?

Solution :
The given values
length l = 12 cm
width w = 7 cm
height h = 6 cm

Step by step calculation
formula to find the volume = length x width x height
substitute the values
= 12 x 7 x 6
= 504 cm3

formula to find the surface area = 2(lw) + 2(hl) + 2(hw)
substitute the values
= (2 x 12 x 7) + (2 x 6 x 12) + (2 x 6 x 7)
= 168 + 144 + 84
= 396 cm

formula to find the perimeter = 2l + 2w
substitute the values
= (2 x 12) + (2 x 7)
= 24 + 14
= 38 cm

formula to find the diagonal length = √(l2 + w2 + h2)
substitute the values
= √(122 + 72 + 62)
= √(144 + 49 + 36)
= 15.13 cm

The volume & surface area of a cuboid may required to be calculated in SI or metric or US customary unit systems, therefore this rectangular prism calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm) by using this below conversion table.

10 mm = 1 cm
100 mm = 3.93 in
1000 mm = 3.28 ft
1000 mm = 1 m
1 cm = 10 mm
10 cm = 3.93 in
100 cm = 3.28 ft
100 cm = 1 m
1 ft = 3048 mm
1 ft = 304.8 cm
1 ft = 12 in
10 ft = 3.048 m
1 in = 25.4 mm
1 in = 2.54 cm
100 in = 8.33 ft
100 in = 2.54 m

In the field of area & volume calculations, finding the volume & surface area of a cuboid is important to understand basic mathematical computations. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate cuboid's volume & surface area manually, however, when it comes to online to perform quick calculations, this rectangular cuboid calculator may be useful to find the results.



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