Problem preview
MF.GM.7 Challenge MF-054-A12-V02

Set up and solve contextual measurement problems that require choosing the correct geometric formula and units.

Find every correct geometry model in a mixed set

Problem

A rectangular glass aquarium is \(24~\text{cm}\) long, \(10~\text{cm}\) wide, and \(16~\text{cm}\) high. Determine how much water it holds when full. Evaluate statements A–H, then report the complete set of statements that model the situation correctly.

A. Use volume because the problem asks how much space is inside the tank.
B. A valid formula is \(V~=~\text{lwh}\).
C. \(24\cdot~10\cdot~16\) is a valid setup.
D. Report the result in \(\text{square}~\text{centimeters}\).
E. Surface area is the required quantity because water touches the glass sides.
F. Report the water capacity in \(\text{cubic}~\text{centimeters}\).
G. \(2(24\cdot~10~+~24\cdot~16~+~10\cdot~16)\) gives the tank's water capacity.
H. Reporting the result in \(\text{centimeters}\) gives units that match the situation.

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Four variants of this problem type
Curriculum context
Standard
MF.GM.7
Category
Geometry and Measurement
Domain
Modeling
Objective
Set up and solve contextual measurement problems that require choosing the correct geometric formula and units.
Problem type
Find every correct geometry model in a mixed set