# What is surface area of a rectangular prism How To Find The Surface Area Of A Rectangular Prism

The surface area of the rectangular prism is the sum of the area of lateral faces and rectangular bases. The unit of measurement for the surface area of rectangular prism is done in square units. Given below is an illustration of rectangular prism: The Surface Area of a Rectangular Prism Formula is, Where, b – base length of the rectangular prism. Mar 04,  · You now know enough to find the surface area of any rectangular prism. You can do it faster if you've learned some basic algebra. Start with our equation above: Area of a rectangular prism = lw + lw + wh + wh + lh + lh. 69%().

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All right reserved. Homepage Free math problems solver! Free math problems solver! Member Login. Surface area of a rectangular prism To derive the formula of the surface area of a rectangular prism, follow closely the steps below. Start with a right shrface prism as shown below and call the length l, the width w, and the height h. Finding surface area Surface area of a square pyramid. Recent Articles. Check out some of our top basic mathematics lessons. I am at least 16 years of age.

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Examples showing how to find the surface area of a rectangular prism

May 20,  · The surface area of a rectangular prism calculator gives us the answer: A = 2 * l * w + 2 * l * h + 2 * w * h = 2 * 8 ft * 6 ft + 2 * 8 ft * 5 ft + 2 * 6 ft * 5 ft = ft². But that is the surface area of the entire prism, and we don't want to tile it all around. The surface area of a rectangular prism is the total area of all six faces. When you have a cube, finding the area of one face allows you to find the total surface area of the solid very quickly, since it will be six times the area of one face. Surface Area Of A Rectangular Prism Formula. Finding surface area for all rectangular prisms (including cubes) involves both addition and multiplication. SA = 2 × 6 × 4 + 2 × 6 × 2 + 2 × 4 × 2. SA = 48 + 24 + SA = 88 cm 2. Example #2: Find the surface area of a rectangular prism with a length of 4 cm, a width of 5 cm, and a height of 10 cm. SA = 2 × l × w + 2 × l × h + 2 × w × h. SA = 2 × 4 × 5 + 2 × 4 × 10 + 2 × 5 × SA = 40 + 80 + SA = cm 2.

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Learn more A rectangular prism is a name for a 6-sided 3-dimensional figure that is very familiar to everybody—a box. The surface area is the amount of space on the outside of the object. To find the surface area of a rectangular prism, measure the length, width, and height of the prism. Find the area of the top and bottom faces by multiplying the length and width of the prism. Then, calculate the area of the left and right faces by multiplying the width and height.

Finally, find the area of the front and back faces by multiplying the length and height of the prism. To find the surface area, simply add all 6 of these areas together and write your result in square units.

Download Article Explore this Article parts. Surface Area Help. Tips and Warnings. Related Articles. Article Summary. Support wikiHow and unlock all samples. Surface Area of a Rectangular Prism Calculator. Part 1 of Label the length, width, and height of your rectangular prism. Each rectangular prism has a length, a width, and a height.

Draw a picture of the prism, and write the symbols l , w , and h 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. Look at the six faces of the prism. To cover the whole surface area, you'd need to paint six different "faces. Both are the same size. There are a left and right face.

If you have trouble picturing this, cut a box apart along the edges and lay it out. Find the area of the bottom face. To start out, let's find the surface area of just one face: the bottom. This is a rectangle, just like every face. One edge of the rectangle is labeled length and the other is labeled width. To find the area of the rectangle , just multiply the two edges together. Find the area of the top face.

Wait a second — we already noticed that the top and bottom faces are the same size. This must also have an area of lw. In our example, the top area is also 12 square inches. Find the area of the front and back faces. Go back to your diagram and look at the front face: the one with one edge labeled width and one labeled height.

The area of the back is also wh. The area of the back face is also 15 square inches. Find the area of the left and right faces.

We've just got two faces left, each the same size. One edge is the length of the prism, and one edge is the height of the prism. The area of the left face is lh and the area of the right face is also lh. The area of the right face is also 20 square inches.

Add the six areas together. Now you've found the area of each of the six faces. You can use this formula for any rectangular prism, and you will always get the surface area.

Part 2 of Simplify the formula. You now know enough to find the surface area of any rectangular prism. You can do it faster if you've learned some basic algebra. Factor out the two. Test it on an example. Let's go back to our example box, with length 4, width 3, and height 5. That's the same answer we got before. Once you've practiced doing these equations, this is a much faster way to find the surface area. Not Helpful 37 Helpful How do I find the edge lengths for a rectangular prism with a surface area of 92 m?

Not Helpful 33 Helpful Make a net of the prism. Next, do the other two rectangles Cheat: They're always the same area as the base! Now, find the area of the triangle. Do the same for the other one, then add them up. If you're referring to a prism whose base and top are triangles and whose three sides are rectangles, in order to determine the area of any of the rectangles, you would need to know the height of the prism, as well as the length of the rectangle's other side.

Not Helpful 27 Helpful Find the surface area of each triangle base x height , then add them together. If all the triangles are congruent, you can just find the surface area of one and multiply it by 4.

Not Helpful 18 Helpful Without knowing more about the rectangular prism and the ratio of the side measurements, it would be difficult to calculate. However, if you are talking about a cube in particular, every side would measure 10 units, if the surface area is units squared.

Not Helpful 35 Helpful If the surface area, length, and width are given, how do I determine the height of a rectangular prism? Multiply length by width, and double it.

That gives you the total area of the top and bottom surfaces of the prism. Subtract that from the total surface area you were given. That leaves you with the total area of the four sides of the prism. Set that number aside for a moment.

Add the length and width together and double it. That gives you the perimeter around either the top or bottom surface. Divide that perimeter into the total area of the four sides you figured out a moment ago.

That gives you the height. Not Helpful 23 Helpful How do I find the length base of a rectangular prism if I am given the height, width, and total surface area?

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