Math Problem Statement
Solution
The image appears to show a math exercise related to the volume of a rectangular water tank.
Part (a):
To find the volume of the water tank, the formula for the volume of a rectangular prism is used:
In this case:
- Length = 12 cm
- Width = 8 cm
- Height = 5 cm
So, the volume calculation is:
Therefore, the water tank's capacity is 480 cm³, which is equivalent to 480 mL (since 1 cm³ = 1 mL).
Part (b):
This part is asking how many 1 cm³ cubes the water tank can hold. Since each cube has a volume of 1 cm³, the number of cubes the tank can hold is simply the volume of the tank, which is 480 cubes.
Summary:
- The water tank has a capacity of 480 cm³ (or 480 mL).
- The water tank can hold 480 1 cm³ cubes.
Would you like further clarification on any part of the problem?
Additional related questions:
- What is the volume of a rectangular prism with different dimensions?
- How do you convert between cubic centimeters and milliliters?
- How can you find the volume of irregular shapes?
- What is the formula for the volume of a cylinder?
- How would you calculate the volume of a cone?
Tip: Always check if the units need conversion, especially when switching between cubic measurements (like cm³ to mL).
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Math Problem Analysis
Mathematical Concepts
Volume of a rectangular prism
Unit conversion between cm³ and mL
Formulas
Volume = length × width × height
Theorems
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Suitable Grade Level
Grades 5-7
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