Question

Ronald owns a fish tank on thr shape of a rectangular box. The tank is 18 inches high, 14 inches deep, and 30 inches long. Ronald went on a one month vacation. When he returned he found that the sides and bottom of his fish tank were covered with algae. What is the area that was covered?

Answer 1

Answer: $2,004\ in^2$

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Based on the information given in the exercise, you can draw the fish tank attached, where the dimensions are: 18 inches high ($h=18\ in$), 14 inches deep ($w=14\ in$), and 30 inches long ($l=30\ in$).  

The area that was convered will be the sum of the areas of all the faces, but the top of the tank.

Therefore, the area that was convered is the following:

$A=(30\ in)(18\ in)+(30\ in)(18\ in)+(18\ in)(14\ in)+(18\ in)(14\ in)+(30\ in)(14\ in)\\\\A=2(30\ in)(18\ in)+2(18\ in)(14\ in)+(30\ in)(14\ in)\\\\A=2,004\ in^2$