Find the surface area of one of small cubes to that of the larger cube if a cube of edge 5cm is cut into cubes, each of edge 1cm.
SA = 6*a^2 = 6*(1)^2 = 6cm^2
the question just confuses you.
To find the surface area of one of the small cubes, we need to know the surface area of the larger cube.
The surface area of a cube is given by the formula: A = 6s^2, where A is the surface area and s is the length of each side.
For the larger cube with an edge length of 5 cm, the surface area would be:
A_large = 6 * (5 cm)^2 = 6 * 25 cm^2 = 150 cm^2
Now, let's calculate the surface area of one of the small cubes. Each small cube has an edge length of 1 cm, so its surface area would be:
A_small = 6 * (1 cm)^2 = 6 * 1 cm^2 = 6 cm^2
To compare the surface area of one small cube to that of the larger cube, we divide the surface area of the small cube by the surface area of the larger cube:
Surface area ratio = A_small / A_large = 6 cm^2 / 150 cm^2
The surface area ratio is approximately 0.04. This means that the surface area of one small cube is 4% of the surface area of the larger cube.