Vicente has a prism-like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store, and the store owner told him to make sure their density in the tank isn't more than 4 fish per cubic meter. Vicente needs to figure out how high to fill the water in the tank. What is the lowest possible height so the fish aren't too crowded?
Answers
Answer:
Whereas eukaryotes wrap their DNA around proteins called histones to help package the DNA into smaller spaces, most prokaryotes do not have histones (with the exception of those species in the domain Archaea). Thus, one way prokaryotes compress their DNA into smaller spaces is through supercoiling.
Given:
Area of base of a prism-like water tank = 1.2 m²
Number of goldfish bought by Vicente = 6
The density of the tank should be = 4 fish per cubic meter.
To find:
What is the lowest possible height so the fish aren't too crowded?
Solution:
From given, we have,
The store owner told Vicente to make sure their density in the tank isn't more than 4 fish per cubic meter.
⇒ 4 fish = 1 m³
1 fish = 1/4 m³
∴ 6 fish = 1/4 × 6 = 1.5 m³
∴ The volume of a prism-like water tank required for 6 fish is 1.5 m³
V = area of base × height
1.5 = 1.2 × h
h = 1.5/ 1.2 = 1.25 m
1.25 m is the lowest possible height so the fish aren't too crowded