Problem preview
MF.GM.5 Challenge MF-052-A12-V04

Find and interpret surface area of prisms and cylinders.

Find every matching surface-area representation

Problem

Identify \(\text{every}~\text{card}\) whose total surface area is \(150\pi~\text{square}~\text{units}\).

Card 1: A closed cylinder with radius \(5~\text{units}\) and height \(10~\text{units}\).
Card 2: The expression \(2\pi~(5)(10)~+~2\pi~(5^{2})\).
Card 3: A cylinder net made of \(\text{one}~\text{rectangle}\) measuring \(10\pi~by~10\) and \(\text{two}~\text{circles}\) of radius \(5\).
Card 4: The lateral surface area of a cylinder with radius \(5~\text{units}\) and height \(15~\text{units}\).
Card 5: A closed cylinder with diameter \(10~\text{units}\) and height \(10~\text{units}\).
Card 6: The expression \(\pi~(5^{2})(10)~+~2\pi~(5^{2})\).

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Four variants of this problem type
Curriculum context
Standard
MF.GM.5
Category
Geometry and Measurement
Domain
Three-Dimensional Measurement
Objective
Find and interpret surface area of prisms and cylinders.
Problem type
Find every matching surface-area representation