Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Volume of 3D Shapes
Geometry
Polygons
Cylinders
Prisms

Formulas

Volume of Cylinder: V = πr²h
Volume of Prism: V = B × h
Area of Regular Hexagon: B = (3√3/2)a²
Area of Regular Pentagon: B = (1/4)√[5(5 + 2√5)]a²

Theorems

Pythagorean Theorem (for polygon area calculation, if required)
Formulas for Regular Polygons

Suitable Grade Level

Grades 8-10