The interior dimensions of a rectangular fish tank are 4 feet long, 3 feet wide, and 2 feet high. the water level in the tank is 1 foot high. all of the water in this tank is poured into an empty second tank. if the interior dimensions of the second tank are 3 feet long, 2 feet wide, and 4 feet high, what is the height of the water in the second tank?

V = L · w · h

Volume of water is 4 · 3 · 1 = 12

Height of water in second tank:   V = L · w · h  →  12 = 3 · 2 · h   → 12 = 6h   → 2 = h

2 ft

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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