Amound of dirt sits next to a hole that is 8 feet deep by 8 feet wide by 8 feet long. if the dirt was dug out to make the hole, how much dirt is in the pile?

512 cubic feet

Step-by-step explanation:

Given: A mound of dirt sits next to a hole that is 8 feet deep by 8 feet wide by 8 feet long.

If the dirt was dug out to make the hole, then the amount of dirt is in the pile is given by volume i.e

Hence, the amount of dirt is in the pile is

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: