Surface Area Calculator
Surface area of a box. The surface area formula for a rectangular box is 2 x (height x width + width x length + height x length), as seen in the figure below: Since a rectangular box or tank has opposite sides which are equal, we calculate each unique side's area, then add them up together, and finally multiply by two to find the total surface area. a = hw b = hl c = wl SA = 2[a + b + c] V = hwl Where, h = Height of Box l = Length of Box w = Width of Box SA = Total Surface Area of Box V = Volume of Box Example: Calculate the total surface area and volume of a box with the height of 10 cm, width of 15 cm, and length of 8 cm.
Use this surface area calculator to easily calculate the surface area of common 3-dimensional bodies like a cube, rectangular box, cylinder, sphere, cone, and triangular prism. Total surface area formulas and explanation below. Depending on the type of body, there are different formulas and different required information you need to calculate surface area a. Bellow are the formulas for calculating surface area of the agea common body types.
In all surface area calculations, make sure that all lengths are measured in the same unit, e. The result from our surface area calculator will always be a square of the same unit: square feet, square inches, fnid meters, square cm, square mm.
The surface area formula for a cube is 6 x side 2as seen in the figure below:. This calculation requires only one measurement, due to the symetricity of the cube. Since a rectangular box or tank has opposite sides which suurface equal, we calculate each unique side's area, then add them up together, and finally multiply by two to find the total surface area.
Visual in the figure below:. The cylinder surface area is the how to test a 5 prong relay times the perimeter of the circle base, plus the areas of the two bases, all added together. Visual on the figure below:. To find the SA simply multiply 4 times 3. The surface area of a cone is one of the most complicated and it is where the need for surfcae calculator becomes more apparent.
You need just two measurements: the diameter of the base and it's height, but the calculus is more involved or most of the other simple bodies. A triangular prism is a stack of triangles, so the usualy triangle solving rules apply when calculating the area of the bases. If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.
Calculators Converters Randomizers Articles Search. Surface Area Calculator Use this surface area calculator to easily calculate how to control ki energy surface area of common 3-dimensional bodies like a cube, if box, cylinder, sphere, cone, and triangular prism. Surface area of. Width 2. Share calculator:. Embed this tool! How to calculate the surface area of a body? Surface area of a cube The surface area formula for a cube is 6 x side 2as seen in the figure suurface This calculation requires only one measurement, due boc the symetricity of the cube.
Height of a Box = 5 Cm. Formula to find the Surface Area of a Box is given by. A = 2(lw+wh+lh) Substitute the given values in the formula and then we will get the result as under. A = 2(3*4+4*5+3*5) =2(12+20+15) =2(47) = 94 Cm 2. ? The surface area of a Box .
Last Updated: June 28, References. To create this article, 11 people, some anonymous, worked to edit and improve it over time. There are 7 references cited in this article, which can be found at the bottom of the page. This article has been viewed , times. Learn more Finding the surface area of a box is easy as long as you know the length of the sides.
Once you know how long the sides are, you simply have to plug them into a basic equation to get your answer.
You can even find the surface area of cylindrical boxes with a few simple measurements. Once you know the area of every side, add them all together to get the surface area of the box. If you want to learn how to break down complex box shapes so you can find the surface area, keep reading the article!
Article Summary. Method 1 of Add together the area of each side to get the surface area of the box. Surface area is the total area of each side.
Measure the length of the box. This is your longest side. There should be 4 identical lines equally long across the whole box. Lay the box down on its longest side to make it easier to measure. Measure the height of the box, or the distance from the floor to the top.
Make sure you don't measure the same side as the length. Measure the width of the box. This is the side directly perpendicular it forms a right angle, or L with the length. Make sure you are not remeasuring the height.
Example: The width of the box is 2 feet. Ensure that you didn't measure the same side twice. The easiest way to prevent this is to check that all three lines meet at some point. Find a corner and measure the three sides coming off of it -- this ensures you have the right measurements. The sides may be the same measurement.
You just want to make sure you're measuring three unique sides, even if two or three of them are all identical. Input your measurements into the formula to solve the equation. Once you've got the numbers, the rest is easy. Simply input the measurements and add it all up. Express your answer in "units squared" when done.
This lets people know how you measured everything, and is a crucial part of your answer. Luckily, all you need to do is use the units provided in the question. For this example, since the units were in feet, you would put "feet squared" at the end of your answer: You have a box 5 feet long, 4 feet high, and 2 feet wide, what is the total surface area?
Break complex boxes into smaller pieces to find surface area. For example, say you had an "L" shaped box. Instead of finding everything by hand, simply think of two separate boxes, the vertical half on top and the horizontal half on the bottom. Find the surface area of both, then add them together to get the total surface area. Say both sides have a surface area of 15 units squared. Method 2 of Add the area of the bases to the height times circumference to find the surface area of a cylinder.
This only works with right cylinders, meaning they are not slanted. B is the area of the base. C is the circumference of the base. Find the area of the base. The base is the circular end of the cylinder. Pi is the constant, rounded to 3. You can also leave it as "pi" if you do not have a calculator. Example: The radius of the base in a cylinder is 2.
What is the area of the base? Calculate the circumference if the base. The circumference is the distance around the edge of the circle. Find the height of the cylinder by measuring the space between the two bases. The height of a cylinder is just another way to figure out how long it is. It is the straight line between the center of the two bases. Example: In the same cylinder, with radius 2 inches, the height is 5 inches. Input your smaller parts into the formula to find your surface area.
Once you've got your base area, circumference, and height, all you need to do is plug the numbers into your formula to get the right answer. Express your answer in units squared. All problems of surface area need units to give them scale. Is the area in inches, or feet, for example. The units always match the units given to you in the problem. Method 3 of Try out some practice problems with rectangles. Try out some practice problems with cylinders.
I'm painting a box 2' wide by 3' long by 2' high. If I'm not painting the bottom, how do I calculate the surface area I need to cover? The top is 2 x 3; two sides are each 3 x 2; and the other two sides are each 2 x 2.
Not Helpful 1 Helpful 2. What is the surface area of a box if the length is 4m the width is 2m and the height is 2m? Multiply the length by the width and double it. Multiply the length by the height and double it. Multiply the width by the height and double it. Add those three amounts together. Not Helpful 4 Helpful 2.
Not Helpful 0 Helpful 0. What is the formula for the surface area of a rectangular prism, excluding the base sitting on the ground? Let "l" be the length, "w" be the width, and "h" be the height.
The first term would be 2 lw if the bottom base were to be included. Not Helpful 0 Helpful 1. I have a tank that is 5' wide x 6' tall. What does it weigh?