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The surface area S of a right prism is given by

S=2B+Ph

where B is the area of the base, P is the perimeter of the base, and h is the height of the prism.

Solve for h.

2007-05-29 19:10:10 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

(S-2B)/P = h

2007-05-29 19:13:07 · answer #1 · answered by anonymous_20003 3 · 0 0

S = 2B + Ph

To isolate h, first move 2B to the left hand side.

S - 2B = Ph

Now, divide both sides by P.

(S - 2B)/P = h

Which is the same as saying

h = (S - 2B)/P

2007-05-30 02:14:13 · answer #2 · answered by Puggy 7 · 0 0

S=2B+Ph
deduct 2B from both sides
S-2B=2B+Ph-2B
S-2B=Ph
divide both equations by P
(S-2B)/P=Ph/P
(S-2B)/P=h [final answer]

2007-05-30 02:18:12 · answer #3 · answered by rales_lds 1 · 0 0

h = (S - 2B)/P

Doug

2007-05-30 02:36:04 · answer #4 · answered by doug_donaghue 7 · 0 0

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