Math Problem Statement

Work out the volume of each shape built from centimeter cubes or half cubes.

Solution

The task is to determine the volume of the given shapes, where each cube represents 1 cm³. Let’s break down the shapes:

  1. First shape (top-left):

    • This shape contains 6 full cubes.
    • Volume: 6 cm³
  2. Second shape (top-middle):

    • This shape contains 6 full cubes.
    • Volume: 6 cm³
  3. Third shape (top-right):

    • This shape contains 6 full cubes.
    • Volume: 6 cm³
  4. Fourth shape (top-right most):

    • This shape contains 8 full cubes (labeled with 8).
    • Volume: 8 cm³
  5. Fifth shape (bottom-left):

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of Cuboids
3D Shapes

Formulas

Volume of a cuboid = length × width × height

Theorems

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Suitable Grade Level

Grades 4-6