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- For a rectangular prism, with height h, width w, and length l, the formula for surface area is 2(l ⋅ w) + 2(l ⋅ h) + 2(h ⋅ w). For a cube with sides of length s, the surface area is: 6s 2.
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What is the surface area of a prism?
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Simplify geometry with our surface area of a rectangular prism calculator, applying the surface area of a rectangular prism formula for accurate results.
- Overview
- Finding the Surface Area
- Making the Formula Shorter
A rectangular prism is a name for a 6-sided 3-dimensional figure that is very familiar to everybody—a box.
Think of a brick, or a shoebox, and you know exactly what a rectangular prism is. The
Label the length, width, and height of your rectangular prism.
Each rectangular prism has a length, a width, and a height.
a picture of the prism, and write the symbols
next to three different edges of the shape.
If you're not sure which sides to label, pick any corner. Label the three lines that meet at that corner.
For example: A box has a base that measures 3 inches by 4 inches, and it stands 5 inches tall. The long side of the base is 4 inches, so
You now know enough to find the surface area of any rectangular prism. You can do it faster if you've
some basic algebra. Start with our equation above: Area of a rectangular prism = lw + lw + wh + wh + lh + lh. If we combine all the terms that are the same, we get:
Area of a rectangular prism =
2lw + 2wh + 2lh
If you know how to
, you can make it even shorter:
The formula to find the surface area of a rectangular prism is given as, Total surface area of a rectangular prism = 2 (lb + bh + lh) square units. where, l = Length of the rectangular prism. b = Breadth of the rectangular prism. h = Height of the rectangular prism.
Students calculate the volume and surface area of rectangular prisms. Answers should be expressed in the appropriate units . These worksheets are printable pdf files.
Aug 26, 2024 · Find the surface area of a rectangular prism given in the figure. Find the lateral surface area of a rectangular prism whose length is 9.5 cm, width is 8 cm, and height is 4 cm. What is the surface area of a rectangular prism. Learn to find it with equations, solved examples and diagrams.
To calculate the surface area of the rectangular prism, calculate the area of each face and then add them together. The surface area of the prism is the sum of the areas. Add each area twice, since each rectangle appears twice in the prism: 40+40+24+24+15+15=158 \mathrm {~cm}^2.