Math Problem Statement
Sam buys a fish tank in the shape of a cuboid with dimensions 100 cm by 30 cm by 30 cm. He wants to know if he can keep 36 small fish in it, knowing that 1000 cm³ = 1 litre, 4.5 litres = 1 gallon, and that he can keep 2 small fish per gallon of water. Is he correct?
Solution
To solve this problem, we need to:
- Calculate the volume of the tank in cubic centimeters.
- Convert the volume from cubic centimeters to gallons.
- Determine how many fish Sam can keep based on the number of gallons.
Step 1: Calculate the Volume of the Tank
The volume of a cuboid is calculated using the formula:
Given:
- Length = 100 cm
- Width = 30 cm
- Height = 30 cm
[ \text{Volume} = 100 , \text{cm} \times 30 , \text{cm} \times
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Math Problem Analysis
Mathematical Concepts
Volume of a Cuboid
Unit Conversion
Ratio and Proportion
Formulas
Volume of a Cuboid = length × width × height
Conversion of cm³ to litres: 1000 cm³ = 1 litre
Conversion of litres to gallons: 4.5 litres = 1 gallon
Theorems
-
Suitable Grade Level
Grades 5-7
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