1. Surface Area and Volume Applications
April 8, 2010

2. Application I
A standard 20-gallon aquarium tank is a rectangular prism that holds approximately 4600 cubic inches of water.The bottom glass needs to be 24 inches by 12 inches to fit on the stand.
3. Application I
Find the height of the aquarium to the nearest inch.

V = l x w x h

4. 4600 = (24) x (12) x h 5. 4600 = 288 x h 6. 16.0 inches = hV = 4600 cubic inches
12 inches
24 inches
7. Application I
Find the total amount of glass needed in square inches for the six faces.
12 inches
16 inches
12 inches
24 inches
24 inches

TSA = 2(24)(12) + 2(12)(16) + 2(24)(16)

8. TSA = 576 + 384+768 9. TSA = 1728 in2