Notice that the dimensions of the oven and the diameter of the cake are in different units of measurement, so the first thing we are going to do to solve our problem is convert the dimensions of the oven from milliliters to centimeters. To do it, we are going to multiply the dimensions of the oven by a conversion fraction. We know that [tex] 1 cm=10mm [/tex], so our conversion fraction will be [tex] \frac{1cm}{10mm} [/tex].
length of the oven = [tex] (600mm)(\frac{1cm}{10mm} )=60cm [/tex]
width of the oven = [tex] (500mm)(\frac{1cm}{10mm} )=50cm [/tex]
Now, we are going to divide the length of the oven by the diameter of the cake to find how many cakes she can fit in the length (horizontally), and we are going to divide the width of the oven by the diameter of the cake to find how many cakes she can fit in the width (vertically).
[tex] \frac{60cm}{25cm} =2.4 [/tex] Since there is no point in beak a fraction of a cake, we can get rid of the decimal part, so we can conclude that she can fit 2 cakes in the length of the oven.
[tex] \frac{50cm}{25cm} =2 [/tex] We can conclude that she can fit 2 cakes in the width of the oven.
Since she can fit 2 cakes in the length of the oven and 2 cakes in the width of the oven, we can conclude that she can fit a total of 4 cakes in the oven in the oven tray at one time.
