Q:

Aika has 294 one-foot unit cubes. He use them to build a rectangular prism. He has 6 cubes left over. Which could be the dimensions of Aikas rectangular prism?​

Accepted Solution

A:
Answer:Step-by-step explanation:Aika has built a rectangular prism.  We now want to know the dimensions of the prism he built. There could be many combinations based on the limited we have, but they only ask for one possibility.We know Aika has a total of 294 square cubes, and after he's done building his prism, he has 6 cubes left... so we know he used 288 of them for its construction.What is one set of dimensions of the prism he could have built with these 288 cubes?The simplest way is to assume he has built a prism that measures 1 foot in one dimension (length, width or height), and deduct the remaining dimensions.Let's say the prism is 1 foot high, that means the surface of the top of the prism is a rectangle having an area of 288 square feet (because once multiplied 1 for the height, we get 288 cubic feet).You can then try a few numbers to try to figure out the  possible dimensions... and you could arrive at the measurements of 12 x 24... which equal 288.So, one set of possible measurements for that prism is:12 x 24 x 1 = 288 cubic feet.You can then play with these numbers to get 12x12x2, 12x8x3, 6x48x1 and so on.