# Geometry

A post tree outside of matts house casts a 12 foot shadow at a certain time of day. At the same time matt, who is 6 feet tall, casts a 2 foot shadow. How tall is the tree?

How do I solve this?

The marketing department of the company is considering making a keychain with a miniature replica of their top selling dishwasher detergent. The dimensions of the dishwasher detergent box are 9 inches by 7.5 inches by 2.25 inches. If the replica will be 1/5 the size of the regular box, what will be the volume of the miniature box?
How do I solve this?

1. Proportion

6 /2ft=H/12

solve for H.

Volume box=8*7.5*2.25 * (1/5^3) inches cubed.

posted by bobpursley

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