A package shaped like a cube has an edge that is 28 cm long
What are you trying to extrapolate given the data on this cube?
To find the surface area and volume of a cube, you need to know the length of one of its edges. In this case, the length of one edge is given as 28 cm.
To find the surface area of a cube, you need to calculate the sum of the areas of all six faces. Since a cube has six equal square faces, you can find the area of one face and multiply it by six. The formula for the surface area of a cube is:
Surface area = 6 * (edge length)^2
Substituting the given value of the edge length (28 cm) into the formula:
Surface area = 6 * (28 cm)^2
Surface area = 6 * (784 cm^2)
Surface area = 4704 cm^2
So, the surface area of the cube is 4704 square centimeters.
To find the volume of a cube, you need to calculate the product of the length, width, and height (which are all equal in a cube since it has equal edges). The formula for the volume of a cube is:
Volume = (edge length)^3
Substituting the given value of the edge length (28 cm) into the formula:
Volume = (28 cm)^3
Volume = 28 cm * 28 cm * 28 cm
Volume = 21,952 cm^3
So, the volume of the cube is 21,952 cubic centimeters.