A rectangle has a length of 10 units and a width of 8 units. Squares x units by x units are cut from each corner so that the edges can be folded up to form a
box. What are the dimensions of the box with the largest volume?
Listed in increasing order, rounding each answer to 1 decimal point and being
careful not to round until the final calculation):
units by
units by
units.

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c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.