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:

Volume=Length×Width×Height\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}

In this case:

  • Length = 19 inches
  • Width = 10.5 inches
  • Height (depth of the water) = 11 inches

Now, substitute these values into the formula:

Volume=19×10.5×11=2194.5 cubic inches\text{Volume} = 19 \times 10.5 \times 11 = 2194.5 \text{ cubic inches}

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:

  1. How can you convert cubic inches to gallons?
  2. What happens to the volume if the water depth is doubled?
  3. How would the volume change if the dimensions of the tank were scaled up by 10%?
  4. How can you calculate the weight of the water in the tank?
  5. 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