An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides the same height as the square sides but twice their length. The total area of the five sides is 3,200 in?. Find the volume of the aquarium. Complete the explanation of your reasoning. Let x represent the length and height of the square sides. Then the longer sides and the bottom measure 2x by x. The total area of the five sides, in terms of x, is A = A, is 3,200 in?. Solving for x we get x = So, the total area of the five sides, in?. The tank's volume is

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides the same height as the square sides but twice their length. The total area of the five sides is 3,200 in2.
 
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An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides
the same height as the square sides but twice their length. The total area of the five sides is 3,200 in?.
Find the volume of the aquarium. Complete the explanation of your reasoning.
Let x represent the length and height of the square sides. Then the longer sides and the bottom measure
So, the total area of the five sides,
in?.
2x byx. The total area of the five sides, in terms of x, is A =
A, is 3,200 in?. Solving for x we get x =
| The tank's volume is
Transcribed Image Text:An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides the same height as the square sides but twice their length. The total area of the five sides is 3,200 in?. Find the volume of the aquarium. Complete the explanation of your reasoning. Let x represent the length and height of the square sides. Then the longer sides and the bottom measure So, the total area of the five sides, in?. 2x byx. The total area of the five sides, in terms of x, is A = A, is 3,200 in?. Solving for x we get x = | The tank's volume is
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