what is the formula for finding the total surface area of a cube?
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Explanation: The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that's the area of one face of the cube.
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Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. ... We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
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In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a 2 . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.
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To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
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['Given radius and height calculate the slant height, volume, lateral surface area and total surface area. ... ', 'Given radius and slant height calculate the height, volume, lateral surface area and total surface area.']
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The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height. To use this formula, we plug in our values and then evaluate.
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The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.
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To find the surface area of a sphere, use the equation 4πr2, where r stands for the radius, which you will multiply by itself to square it. Then, multiply the squared radius by 4. For example, if the radius is 5, it would be 25 times 4, which equals 100.
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The volume of a rectangular prism is given in two equations: V = (area of base) * (height) and V = (length) * (width) * (height). The surface area of a rectangular prism is the sum of the area of its six faces: Surface Area = 2_l_w + 2_w_h + 2_l_h.
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The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area of all 6 faces added together.
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Add the six areas together. Add them all together to get the area of the whole shape: lw + lw + wh + wh + lh + lh. You can use this formula for any rectangular prism, and you will always get the surface area. To finish our example, just add up all the blue numbers above: 12 + 12 + 15 + 15 + 20 + 20 = 94 square inches.
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Examples. Surface Area of a Cube = 6 a 2. (a is the length of the side of each edge of the cube) In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a 2 .
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Because both the length and width of a square are equal, the area of a square is a2, where a is the length of a side. Since there are 6 identical sides of a cube, to find the surface area, simply multiply the area of one side times 6.
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The formula for the lateral surface area of a rectangular box, also called a cuboid, is 2h(l + w), where l = length, w = width, and h = height.
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A cube's volume formula is equal to: V = s^3 where s is the length of its side. Thus, if you know the cubes volume, you can find the length of the side by taking the cube root of the volume.
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To use this ratio, you can plug in the value for your variable and then calculate your ratio. So, if your cube has a side length of 1 centimeter with a volume of 1 cubic centimeter, then your surface-area-to-volume ratio is 6 / 1 = 6.
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The Hollow Hemisphere Formula listed here is used to calculate Volume and surface area of a Hollow Hemisphere. To calculate Surface Area, square the radius and multiply it with 2 and Pi. To calculate the volume, cube the radius and multiply it with 3 and Pi. Then divide the answer by 2.