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# MAFS.912.G-GMD.1.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Subject Area: Mathematics
Domain-Subdomain: Geometry: Geometric Measurement & Dimension
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Explain volume formulas and use them to solve problems. (Geometry - Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

### TEST ITEM SPECIFICATIONS

• Item Type(s): This benchmark will be assessed using: EE item(s)
• N/A
• Assessment Limits :
Items may require the student to recall the formula for the volume of
a sphere.

Items may require the student to find a dimension.

Items that involve cones, cylinders, and spheres should require the
student to do more than just find the volume.

Items may include composite figures, including three-dimensional
figures previously learned.

Items may not include oblique figures.

Items may require the student to find the volume when one or more
dimensions are changed.

Items may require the student to find a dimension when the volume
is changed.

• Calculator :

Neutral

• Clarification :
Students will use volume formulas for cylinders, pyramids, cones, and
spheres to solve problems
• Stimulus Attributes :
Items must be set in a real-world context.

Items may require the student to apply the basic modeling cycle

• Response Attributes :
Items may require the student to use or choose the correct unit of
measure.

Items may require the student to apply the basic modeling cycle

### SAMPLE TEST ITEMS (1)

• Test Item #: Sample Item 1
• Question:

A phosphate is mined, it moves along a conveyor belt, falling off of the end of the belt into the shape of a right circular cone, as shown.

A shorter conveyor belt also has phosphate falling off of the end into the shape of a right circular cone. The height of the second pile of phosphate is 3.6 feet shorter than the height of the first. The volume of both piles is the same.

To the nearest tenth of a foot, what is the diameter of the second pile of phosphate?

• Difficulty: N/A
• Type: EE: Equation Editor