Math Problem Statement
A tank is 19 inches by 10.5 inches and holds water to a depth of 11 inches How many cubic inches of water does it hold?
Solution
To calculate the volume of water the tank holds, we use the formula for the volume of a rectangular prism:
In this case:
- Length = 19 inches
- Width = 10.5 inches
- Height (depth of the water) = 11 inches
Now, substitute these values into the formula:
So, the tank holds 2,194.5 cubic inches of water.
Do you want any more details or have further questions?
Here are 5 related questions you might find helpful:
- How can you convert cubic inches to gallons?
- What happens to the volume if the water depth is doubled?
- How would the volume change if the dimensions of the tank were scaled up by 10%?
- How can you calculate the weight of the water in the tank?
- What would be the volume if the tank were filled to a different height?
Tip: When working with rectangular prisms, always multiply the three dimensions (length, width, height) to find the volume!
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Rectangular Prisms
Formulas
Volume = Length × Width × Height
Theorems
Volume formula for rectangular prisms
Suitable Grade Level
Grades 6-8
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