Answer:
1. 102 minutes
2. 5100 cm²
Step-by-step explanation:
So the volume of this fish tank is 30600 cm³ following the formula for the volume a rectangular prism (V = l×w×h) → (60×15×34)
1 cm³ = 1 mL
- With this conversion we then have the fish tank being 30600 mL
Since the water faucet release water at 300mL/min and we have 30600 mL, we would need to divide the volume by the rate at which the tank can be filled in order to find out how long it will take.
- [tex]\frac{30600}{300}[/tex] = 102 minutes
Now to figure out how much glass we will need, we have to find the area of the four panes of glass that make up a fish tank; the one in front, the one in the back, and the two on the sides.
- In the image attached, I drew out what the fish tank would look like along with the labelled dimensions.
First we can find the area of either the front or back pane of glass, they will both be the same area.
- The area of a rectangle is A = b×h
- In this case, our base is 60 and our height is 34
- Plugging this into the formula we get A = (60)(34) = 2040 cm²
- **Now we need to remember to add this twice at the end since there are two panes of glass with these dimensions**
Now for the side panes of glass we only need to find the area once since they will both have the same area
- These panes are also rectangles so they have the same area formula of A = b×h
- In this case, our base is 15 and our height is 34
- Plugging these numbers into our formula we get A = (15)(34) = 510 cm²
- **Now we need to remember to add this twice at the end since there are two panes of glass with these dimensions**
We can now add up all the dimensions we calculated to figure out how much glass we will need to make the tank:
2040 cm² + 2040 cm² + 510 cm² + 510 cm² = 5100 cm² of glass
