•manuela has two boxes. the larger of the two boxes has dimensions of 15 cm
by 25 cm by 20 cm. the smaller of the two boxes is a cube with sides that are
10 cm long. if she were to put the smaller box inside the larger, what would be
the remaining volume of the larger box?

6500 cm^3.

Step-by-step explanation:

That would be the volume of the large box - the volume of the cube

= 15*25*20 - 10^3

= 7500 - 1000

= 6500 cm^3.

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: