Math Problem Statement

A storage shed is in the shape of a right rectangular prism, with dimensions in feet: 12 ft (length), 10 ft (width), and 8 ft (height). What is the volume of the shed?

Solution

To find the volume of the storage shed, which is in the shape of a rectangular prism, we use the formula for the volume of a rectangular prism:

V=l×w×hV = l \times w \times h

Where:

  • ll is the length (12 ft),
  • ww is the width (10 ft),
  • hh is the height (8 ft).

Now, let’s compute the volume:

V=12ft×10ft×8ftV = 12 \, \text{ft} \times 10 \, \text{ft} \times 8 \, \text{ft}

Let me calculate that.The volume of the storage shed is 960960 cubic feet.

Would you like more details or have any questions? Here are 5 related questions you can explore:

  1. How do you find the surface area of a rectangular prism?
  2. How does changing one dimension of the shed affect its volume?
  3. What is the difference between volume and surface area?
  4. Can the volume of irregularly shaped objects be calculated similarly?
  5. How would you calculate the volume if the storage shed had slanted walls?

Tip: When solving problems involving volume, make sure all dimensions are in the same unit before performing calculations.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of 3D Shapes
Rectangular Prism

Formulas

Volume of a rectangular prism: V = l × w × h

Theorems

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Suitable Grade Level

Grades 6-8