Question

Kellogg's sells cereal in a box that has dimensions 8 inches in length, by 2 inches in width, by 9 inches in height

If the company decides to sell a larger cereal box that is similar to their smaller box, what will be the height of the larger box if it's length is now 10 inches?

A ) 2 1/2 in B ) 11 1/4 C ) 11.4 in D ) 17 in

Answer 1

Help me please

Answer 2

Both boxes are similar
hence their lengths widths and heights will be in proportion
therefore,
\[\huge \frac{8}{ 10}= \frac{9}{x} \rightarrow x= \frac{ 10 \times 9}{8}\]

\[\huge \rightarrow x= \frac{ 5 \times 9}{4} = \frac{45}{4} \]
\[\huge 11 \frac{1}{4} \]
hence option B ) 11 1/4 is the correct answer.

@Nicole_xoxo

Answer 3

Thank u