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What is the volume of the cube with a surface area of 54?
SA = 54 so SA of one face = 54/6 ie 9, making each edge 3 so vol. of cube is 27
What is bigger the surface area of a sphere or the surface area of a cube if they have the same volume?
If a sphere and a cube have the same volume, the sphere will have a larger surface area. This is because the sphere has the smallest surface area to volume ratio of any geometric shape, resulting in a larger surface area for a given volume compared to other shapes like cubes. The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere, while the surface area of a cube is given by 6s^2, where s is the length of one side of the cube.
If one corner cube was removed from a square prism what is its surface area?
The same as before. The newly exposed faces replace the lost faces, and since each face of a cube has the same area, the total remains unchanged. In fact you could even remove a cuboid rather than cube, and leave the surface area unchanged.
If the surface area of a cube is 150 what is the volume of the cube?
Well, darling, to find the volume of a cube, you simply cube the length of one side. Since the surface area of a cube is 6 times the side length squared, you can solve for the side length by taking the square root of 150/6. Once you have the side length, just cube it to find the volume. Easy peasy lemon squeezy!
What is the width and length of a 150 square centimeter cube?
150 square centimetres is a measure of area. Assuming it is the total surface area of the cube, the surface area of any one [square] face is 150/6 = 25 sq cm. Consequently, the width and length are sqrt(25) = 5 cm.
