A cube with 1 cm sides has a surface area of 6 cm2 and a volume of 1 cm3.
If the surface area is 49 cm2 then the edge lengths are 2.858 cm
If they are all the same size, the surface area is just the total surface area, which is 6 (faces) x edge x edge - that is the area of one face, (the length of one edge times itself as cubes have square faces) x the number of faces (6) x the number of cubes (3). Then subtract fom this the area not exposed, which is the top face of the bottom cube, top and bottom of the middle cube and bottom face of the top cube - so that's 4 faces. So the formula boils down to: 6 x 3 x edge x edge - 4 x edge x edge ... or ... 14 edge² If they are different sizes: 1. Work out the total area of each cube. 2. Between the bottom and middle cube, take the smaller and that face is hidden on both cubes, so subtract twice this face. 3. Do the same for the top and middle cubes.
To tackle this you first need to know the equations for both volume and surface area. The surface area of a cube is 6x2 where x is the side length. The volume of the cube is x3. Thus x is the cube root of the volume. We can substitute this in to the surface area equation and say that the surface area of a cube is 6volume2/3 This can also be rearranged to say that the volume of the cube is (the surface area/6)1.5
The total surface area is 150mm2 and the volume of the cube 125mm3
The volume of a cube is the length of the side, cubed.The area of a cube is 6 times (the length of a side squared).
cubes
Surface area of two cubes = 6 times [ (length of first cube's edge)2 + (length of second cube's edge)2 ]
(surface area of cube 1 or 2 (either)) times 2 = (total surface area of two identical cubes)
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If many smaller cubes are combined to form a larger cube, then the surface area of the large cube is: 6 x (length of one side squared)
54 square cm Each of the six sides of the cube has 9 square centimeters. 9x6=54
A Cube.
The surface area of the cube will be 54cm2To find the surface area for other cubes, take the edge length (x) and square it (x2) and then multiply that by six: x2*6 = surface area.
A cube with 1 cm sides has a surface area of 6 cm2 and a volume of 1 cm3.
Consider this:If a cube has side length d, then its volume is d3 and its surface area is 6d2.If I cut the cube into 8 smaller cubes by bisecting each edge, then the new side length is d/2, the sum of the volume is 8 * ((d/2)3) = d3, and the surface area is 8 * (6(d/2)2) = 12d2.Therefore, even though the volume stayed constant, the sum of the surface area increased when I cut a larger cube into small cubes. The increase in surface area will be larger and larger as the cube is cut into smaller and smaller pieces. Therefore a sugar cube always has less surface area than an equal mass of sugar crystals.Granulated sugar has more surface area than a sugar cube.
To find the surface area of a single cube, you calculate the area of each face (6 faces) and add them together. Each face has an area of 1 cm x 1 cm = 1 cm². Therefore, the surface area of one cube is 6 cm². If the stack consists of n cubes, the total surface area would be 6n cm².