Question

right square prism has a volume of 360 cubic units. Which could be the dimensions, in units, of the prism

1. From the given options, the possible dimensions of a right square prism having a volume of 360 cubic units are:
• 3 by 3 by 40.
• 2.5 by 12 by 12.
• 3.6 by 10 by 10.
The volume of a right square prism is the product of all its three dimensions.
In the question, we are asked what could be the dimensions of a right square prism which has a volume of 360 cubic units.
We check each option as follows:
• 3 by 3 by 40: Volume = 3*3*40 cubic units = 360 cubic units. Thus, this can be the dimensions of the right square prism which has a volume of 360 cubic units.
• 4 by 4 by 20: Volume = 4*4*20 cubic units = 320 cubic units. Thus, this cannot be the dimensions of the right square prism which has a volume of 360 cubic units.
• 5 by 5 by 14: Volume = 5*5*14 cubic units = 350 cubic units. Thus, this cannot be the dimensions of the right square prism which has a volume of 360 cubic units.
• 2.5 by 12 by 12: Volume = 2.5*12*12 cubic units = 360 cubic units. Thus, this can be the dimensions of the right square prism which has a volume of 360 cubic units.
• 3.6 by 10 by 10: Volume = 3.6*10*10 cubic units = 360 cubic units. Thus, this can be the dimensions of the right square prism which has a volume of 360 cubic units.
Thus, from the given options, the possible dimensions of a right square prism having a volume of 360 cubic units are:
• 3 by 3 by 40.
• 2.5 by 12 by 12.
• 3.6 by 10 by 10.