which has the greater volume: a 4 meter cube or a rectangular solid that that is 8 meters long, 2 meters wide and 2 meters high
Accepted Solution
A:
Answer:The cube has the greater volume. Step-by-step explanation:The volume of a cube is given as:[tex]V=x^3[/tex]Where [tex]x[/tex] is the measure of 1 side (all sides of a cube are same)The volume of a rectangular solid is given as:[tex]V=l*w*h[/tex]Where [tex]l[/tex] is the length, [tex]w[/tex] is the width, and [tex]h[/tex] is the height. From the problem, Volume of cube = [tex](4)^{3}=64[/tex] [since each side is given as 4]Volume of rectangular solid = [tex]8*2*2=32[/tex] [the length is given as 8, width is 2, and height is 2] The cube has the greater volume.