Problem preview
MF.GM.7 Challenge MF-054-A12-V04

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 garden bed is \(9~\text{ft}\) long, \(6~\text{ft}\) wide, and \(1.5~\text{ft}\) deep. Determine how much topsoil fills the bed. Evaluate statements A–H, then report the complete set of statements that model the situation correctly.

A. The problem requires volume because soil fills a three-dimensional space.
B. A valid setup is \(9\cdot~6\cdot~1.5\).
C. Report the result in \(\text{cubic}~\text{feet}\).
D. Surface area is required because the soil covers the bottom of the bed.
E. \(2(9\cdot~6~+~9\cdot~1.5~+~6\cdot~1.5)\) models the soil needed.
F. An answer in \(\text{square}~\text{feet}\) has units that match the situation.
G. Multiply \(\text{all}~\text{three}~\text{dimensions}\) because they give the prism's length, width, and depth.
H. The final result gives the fencing needed around the garden bed.

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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