Solid A is a cylinder with radius \(4~m\) and height \(9~m\). Solid B is a prism with base area \(48~m^{2}\) and height \(6~m\). Express \(\text{both}~\text{volumes}\) as base area times height, and compare them.

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Solid A: (4 m²) × (9 m); Solid B: (48 m²) × (6 m); not equal.

Solid A: (16π m²) × (9 m); Solid B: (48 m²) × (6 m); equal.

Solid A: 16π m² and Solid B: 48 m², so not equal.

Solid A: (16π m²) × (9 m); Solid B: (48 m²) × (6 m); not equal.

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Curriculum context

Course: Math Foundations
Standard: MF.GM.6
Category: Geometry and Measurement
Domain: Three-Dimensional Measurement
Objective: Find and interpret volume of prisms and cylinders using correct units.
Problem type: Put both solids into one comparable volume form