Skip Navigation

Utah Core  •  Curriculum Search  •  All Mathematics - Secondary Lesson Plans  •  USBE Mathematics - Secondary website

Mathematics - Secondary Curriculum Secondary Mathematics II
Educational Links

Strand: GEOMETRY - Geometric Measurement and Dimension (G.GMD)

Explain volume formulas and use them to solve problems (Standards G.GMD.1, 3).

Standard G.GMD.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Informal arguments for volume formulas can make use of the way in which volume scale under similarity transformations: when one figure results from another by applying a similarity transformation, volumes of solid figures scale by k3 under a similarity transformation with scale factor k.

UEN logo - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.