Math Problem Statement
how to find the surface area and the volume of this shampoo bottle. Its a octahedral prism and it slims down at the bottom as u cen see here
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume Calculation
Surface Area Calculation
Formulas
Area of a regular octagon: A_{octagon} = 2(1 + sqrt(2)) * a^2
Volume of octagonal prism: V = A_{octagon} * h
Lateral surface area: A_{lateral} = 8 * a * h
Theorems
Prism Volume Theorem
Area of Regular Polygons Theorem
Suitable Grade Level
Grades 10-12