A cube has an area of and a cuboid has dimensions of cm, cm, and cm. Which of the two has a higher volume?
Step 1: Find the volume of the cube.
First find the cube's edge length .
Note that we only use the positive value when taking the square root below, because it does not make sense to have a radius with a negative value.
Then find the volume of the cube.
Step 2: Find the volume of the cuboid.
Step 3: Compare the volumes.
, so the cuboid has the greater volume.