Posted by **Randy** on Saturday, January 7, 2012 at 10:00pm.

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**, Sunday, January 8, 2012 at 9:14pm
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 = 11-W.

L*W = 30,

Substitute 11-W for L:

(11-W)W = 30,

-W^2+11W-30 = 0,

W^2-11W+30 = 0,

(W-5)(w-6) = 0,

W = 5 or 6.

L+5 = 11,

L = 6.

Dimensions = 6 x 5.

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