# Math

posted by Ben

A cylinder fish tank has a volume of 301.44, a rectangular fish tank as a volume of 300, and a triangular prism tank has a volume of 253.75. Obviously the cylinder tank holds more water, but is there a mathematical reason why other than its bigger?

1. Steve

I think you are leaving something out. I assume they all have the same height.

The area of a polygon increases with the number of sides, if the perimeter is constant.

A square has more area than a triangle, and has the most area of any rectangle. A circle has the maximum area for a given perimeter.

2. Ben

The triangular prism has a height of 17.5 in and a base area of 14.5 in. The rectangular prism has dimensions of 10 x 5 x 6, and the cylinder has a height of 6 in and a dimater of 8 in.

3. Steve

given the various dimensions, I'd say it holds more water because it is bigger.

Of course, that is always true :-) ...

## Similar Questions

1. ### fish tank;; deals with volume. :]

A cylinder shaped fish talk is 40cm high and has a radius of 12cm. The tank with be layed with a decorative gravel on the bottom. The blue layer will be 2 cm high. The yellow layer will be 3 cm high. And the green layter will be 2cm …
2. ### Geometry

Linda has two fish tanks in the shape of rectangular prisms. Each of the sides of the second fish tank is 3 times greater than the sides of the first fish tank. If Linda fills both the fish tanks completely with water, the volume of …
3. ### math

if a fish tank shaped like a rectangular prism that is 20cm by 20cm by 16cm. what is the volume of the tank
4. ### math

A fish tank is in the shape of a rectangular prism. The dimensions of the tank are shown in the picture below. 84 in. 24 in. 48 in. What is the volume of the tank in cubic feet?
5. ### Math

The dimensions or a fish tank ( rectangular prism ) are x, 3x+2, and 2x-4. Express the volume of the fish tank as a simplified polynomial.
6. ### Math

Mary has two tanks of fish. If she transfers 15 fish from the larger tank to the smaller tank then the number of fish in the smaller tank will be 5/7 of the number of fish in the large, tank. Given that there are 35 fish in the smaller …
7. ### math

Mary has two tanks of fish. If she transfers 15 fish from the larger tank to the smaller tank then the number of fish in the smaller tank will be 5/7 of the number of fish in the large, tank. Given that there are 35 fish in the smaller …
8. ### math

Mary has two tanks of fish. If she transfers 15 fish from the larger tank to the smaller tank then the number of fish in the smaller tank will be 5/7 of the number of fish in the large, tank. Given that there are 35 fish in the smaller …
9. ### Maths

A rectangular fish tank has a base area of 0.3 m squared and height 30 cm and is filled with 80 L of water. Ten large fish with volume 50 cm cubed each are placed into the tank. By how much does the water rise?
10. ### Pre-Calculus

The base of the fish tank below has a length of 40 inches, a width of 20 inches, and height of 1.5 feet. The tank starts off with a water depth of 7 inches. You then add water to the tank at a constant rate such that the water level …

More Similar Questions