54 units2
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
Assuming that the cubes are 1x1x1, there will be one thousand cubes in the larger cube.
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)
no
54 square cm Each of the six sides of the cube has 9 square centimeters. 9x6=54
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)
A Cube.
When a solid wooden cube is painted blue and then cut into 27 smaller cubes, the original cube's surface area is divided among the smaller cubes. Since each side of the larger cube is painted, the outer layer of the smaller cubes will be blue. Out of the 27 smaller cubes, only the 8 cubes in the center do not have any blue paint, while the remaining 19 have at least one face painted blue. Therefore, the fraction of the total surface area that is blue is ( \frac{19}{27} ).
A 3 cm cube has a greater surface area compared to smaller cubes because surface area increases with the square of the side length. The surface area of a cube is calculated using the formula (6a^2), where (a) is the length of one side. For a 3 cm cube, this results in a surface area of (54 , \text{cm}^2). In general, larger cubes will always have a greater surface area than smaller ones, assuming they are solid and perfectly cubic in shape.
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.
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.