Math Problem Statement

What is the volume of this object?

Solution

The image shows a 3D object that appears to be a rectangular prism (or cuboid) composed of small unit cubes. To find the volume of the object, we need to calculate how many unit cubes fill the entire shape.

Steps to solve:

  1. Count the number of cubes along each dimension (length, width, height).

    • Length: The object appears to be 4 cubes long.
    • Width: The object appears to be 3 cubes wide.
    • Height: The object appears to be 5 cubes tall.
  2. Apply the volume formula for a rectangular prism: Volume=Length×Width×Height\text{Volume} = \text{Length} \times \text{Width} \times \text{Height} Substituting the values: Volume=4×3×5=60 cubic units\text{Volume} = 4 \times 3 \times 5 = 60 \text{ cubic units}

Thus, the volume of the object is 60 cubic units.

Would you like more details or have any questions?

Related Questions:

  1. How would the volume change if the length were doubled?
  2. What would the volume be if the height were decreased by 1 unit?
  3. How can you calculate the surface area of this object?
  4. What is the difference between volume and surface area in geometry?
  5. Can you find the volume of irregular objects using this method?

Tip: Remember that for any rectangular prism, the volume is always found by multiplying its length, width, and height!

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Math Problem Analysis

Mathematical Concepts

Volume
Geometry
Rectangular Prism

Formulas

Volume of a rectangular prism = Length × Width × Height

Theorems

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Suitable Grade Level

Grades 5-7