Question

Katherine has a fish tank shaped like a triangular prism in her living room. The triangle that forms the base of the tank has a base of 24 inches and a height of 20 inches. The entire tank is 36 inches tall. What volume of water is needed to fill the tank if the tank is only filled to 6 inches below the top?

Answer 1

Answer:

$Volume = 7200in^3$

Step-by-step explanation:

Given

$B = 24$ --- base of the tank base

$h = 20$ --- height of the tank base

$H = 36$ --- height of the tank

Required:

Determine the volume of water needed for 6 inches below the top

First, calculate the area of the tank base.

$Area = \frac{1}{2}Bh$

$Area = \frac{1}{2}*24*20$

$Area = 12*20$

$Area = 240$

If the tank is filled 6 inches below the top, this means that the height of the water is H - 6.

So, the volume is:

$Volume = Area * (H - 6)$

Substitute 240 for Area and 36 for H

$Volume = 240 * (36 - 6)$

$Volume = 240 * 30$

$Volume = 7200in^3$