Question

lessandra tried to fill the prism with unit cubes but did not have enough. A rectangular prism has a length of 6, height of 4, and width of 5. Which statement would give a correct method for finding the volume of the prism? She knows there are 30 unit cubes in the bottom layer. Since the height is 4, there are 4 layers of 30 cubes each. She should multiply 4 times 30 = 120. The volume is 120 cubic units. She knows there are 11 cubes along the bottom and the height is 4, so she should multiply 4 times 11 = 44. The volume is 44 cubic units. She knows there are 30 unit cubes in the bottom layer. She will need 4 more layers, so she should add 30 + 30 + 30 + 30 + 30 = 150. The volume is 150 cubic units. She knows there are 11 cubes along the bottom, and she needs 3 more layers. She has 33 cubes already in the prism, so she should add 11 + 11 + 11 + 33 = 66. The volume is 66 cubic units.

Answer 1

She knows there are 30 unit cubes in the bottom layer. Since the height is 4, there are 4 layers of 30 cubes each. She should multiply 4 times 30 = 120. The volume is 120 cubic units.

Explanation:

The way to figure it out is by taking the prism and just making it a rectangle, which menas that it is just 6 by 5, and then when you multiply those together you get 30 which means that one layer, or the bottom layer, is 30 and not 11. Then you have only 3 more layers left and that means that means that you need 120 unit cubes to fill up the prism.