Drag the orange point on the cube to change its side length. Then set the base of the pyramid to the same dimensions as a face on the cube. Also set the height of the pyramid to the same side length as the cube. Note the volumes of the cube and the pyramid. Record the volumes for a few sets of heights and bases, and then calculate the ratio of the volumes. Be sure the dimensions for the cube and the pyramid are the same in each set. (You might see some discrepancies in the tool due to rounding of decimals.) Round your calculations for the ratio to the hundredths place. The first one has been done for you.

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.