Mathematics, 10.10.2019 11:00, lakhanir2013

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?

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answered: avree9815

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.

answered: Guest

step-by-step explanation:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since 2010 0 1 2 3 4 5

profits made in 1000's 39 84 111 120 111 84

we find that profit gradually increases form 2010 to 2013 upto 120, then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a. since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

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Aika has 294 one-foot unit cubes. he use them to build a rectangular prism. he has 6 cubes left over...