Arectangular prism with a avolume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. how many 1/2 units does it take to fill the prism?

48 cubes

Step-by-step explanation:

The complete question is

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?

step 1

Find the volume of the cube

The volume of the cube is equal to

where

b is the length side of the cube

we have

substitute

step 2

To find out how many half-unit cubes are needed to fill the prism, divide the volume of the prism by the volume of the cube

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:

246

step-by-step explanation: