The measure of an edge of a cube is 6.5cm. Find its surface area and lateral surface area?
To find the surface area of a cube, we need to know the length of one of its edges. In this case, the length of one edge is given as 6.5 cm.
The surface area of a cube can be calculated by using the formula:
Surface Area = 6 * (edge length)^2
Plugging in the value of the edge length, we get:
Surface Area = 6 * (6.5 cm)^2
= 6 * 42.25 cm^2
= 253.5 cm^2
Therefore, the surface area of the cube is 253.5 cm^2.
Now let's move on to calculating the lateral surface area of the cube. The lateral surface area only includes the areas of the cube's faces that are visible from the outside and not the top and bottom faces.
The lateral surface area of a cube can be found by using the formula:
Lateral Surface Area = 4 * (edge length)^2
Substituting the given value of the edge length into the formula, we have:
Lateral Surface Area = 4 * (6.5 cm)^2
= 4 * 42.25 cm^2
= 169 cm^2
So, the lateral surface area of the cube is 169 cm^2.