Math Problem Statement

Marie's pet turtle, Speedy, is getting too big for his tank! So, Marie bought a new tank shaped like a rectangular prism. The new tank is 2= feet long, 1 foot wide, and 1_ feet high. What is the volume of the tank?

Solution

To find the volume of the rectangular prism-shaped tank, 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}

From the problem, the dimensions are:

  • Length = 2 feet
  • Width = 1 foot
  • Height = 1 foot

Substitute these values into the formula:

Volume=2×1×1=2cubic feet\text{Volume} = 2 \times 1 \times 1 = 2 \, \text{cubic feet}

So, the volume of the tank is 2 cubic feet.

Let me know if you'd like further details or clarification!


Additional Questions:

  1. How would the volume change if the tank were 3 feet long instead of 2 feet?
  2. What would the volume be if the tank's height were doubled?
  3. How does the volume relate to the amount of water the tank can hold?
  4. How can the formula for the volume of a rectangular prism be applied to real-world objects?
  5. What other shapes could be used for a turtle tank, and how would their volume calculations differ?

Tip: Always double-check that all units (length, width, height) are in the same measurement system (like feet or meters) before calculating volume.

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Math Problem Analysis

Mathematical Concepts

Volume of Rectangular Prism
Basic Multiplication

Formulas

Volume = length × width × height

Theorems

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Suitable Grade Level

Grades 5-7