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Total Surface Area of a Rectangular Prism Calculator

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Total Surface Area of a Rectangular Prism Calculator

Enter the length, width, and height to calculate the area of total surface.

Input the length, width, and height of the rectangular prism in your preferred units, and the calculator will compute the total surface area.

The Total Surface Area of a Rectangular Prism Calculator provides an easy way to find the surface area of a rectangular prism. A rectangular prism is a three-dimensional shape with six rectangular faces. Knowing the total surface area is essential for tasks such as material estimation and packaging.

Formula

Total Surface Area=2×(Length×Width+Length×Height+Width×Height)\text{Total Surface Area} = 2 \times (\text{Length} \times \text{Width} + \text{Length} \times \text{Height} + \text{Width} \times \text{Height})

 

Variable Description
Length (LL) The longest side of the prism
Width (WW) The shorter side perpendicular to LL
Height (HH) The vertical side connecting LL and WW

Solved Examples

Example 1:
Find the surface area of a rectangular prism with Length=10cm\text{Length} = 10 \,, Width=5cm\text{Width} = 5 \, \t, and Height=4cm\text{Height} = 4 \.

Step Calculation Result
Formula Surface Area=2×(L×W+L×H+W×H)\text{Surface Area} = 2 \times (L \times W + L \times H + W
Substitution Surface Area=2×(10×5+10×4+5×4)\text{Surface Area} = 2 \times (10 \times 5 + 10 \times 4 + 5  2×(50+40+20)2 \times (50 
Final Result Surface Area=220cm2\text{Surface Area} = 220 \, \ 220cm2220 \, \t

Example 2:
Find the surface area of a rectangular prism with Length=2m\text{Length} = 2 , Width=3m\text{Width} = 3 \, \t, and Height=1m\text{Height} = 1 \, \tex.

Step Calculation Result
Formula Surface Area=2×(L×W+L×H+W×H)\text{Surface Area} = 2 \times (L \times W + L \times H + W \
Substitution Surface Area=2×(2×3+2×1+3×1)\text{Surface Area} = 2 \times (2 \times 3 + 2 \times 1 + 3  2×(6+2+3)2 \times (
Final Result Surface Area=22m2\text{Surface Area} = 22 \, \ 22m222 \, \text{m}^2

Applications

  • Construction and Architecture: Estimating materials like paint or tiles.
  • Packaging Design: Determining the surface area of boxes.
  • Education: Geometry problems and projects.

FAQs

1. Can I use different units for each dimension?
Yes, the calculator allows different units for length, width, and height. It automatically converts them to a consistent unit for calculation.

2. What is the surface area used for?
It is used to estimate the material required to cover the entire surface of the prism.

3. What if I enter invalid values?
The calculator validates inputs to ensure they are positive numbers. If invalid values are entered, you will be prompted to correct them.

Calculate the total surface area of a rectangular prism with ease. Input length, width, and height in any unit, and get accurate results for construction, packaging, or geometry problems.

 

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