math
posted by Randy .
1. find the lateral area of a right prism whose altitude measures 20 cm and whose base is a square with a width 7 cm long.
2. the volume of a rectangular solid is 5376 cubic meters, and the base is 24 meters by 16 meters. find the height of the solid.
3. a rectangle has a perimeter of 22cm and an area of 30 cubic meter. what are its dimensions?

math 
Henry
1. The lateral area is the sum of the
areas of the vertical sides.
Al = 2(W*h) + 2(L*h).
Al = 2( 7*20) + 2(7*20) = 560 cm^2.
2. V = L*W*h.
22*16*h = 5376.
Solve for h.
3. 2W + 2L = 22,
Divide both sides by 2:
L + W = 11,
L = 11W.
L*W = 30,
Substitute 11W for L:
(11W)W = 30,
W^2+11W30 = 0,
W^211W+30 = 0,
(W5)(w6) = 0,
W = 5 or 6.
L+5 = 11,
L = 6.
Dimensions = 6 x 5.
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