Geometry · Two- and Three-Dimensional Figures
Virginia SOL G.DF.1
Virginia SOL G.DF.1 is part of the Two- and Three-Dimensional Figures strand in Geometry (Math). Under this Standards of Learning objective, students create models and solve problems involving surface area and volume of three-dimensional figures. Below is what G.DF.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice G.DF.1 for the Virginia SOL test.
What SOL G.DF.1 means
Create models and solve problems involving surface area and volume of three-dimensional figures.
Practice Geometry SOL questions
Free Geometry questions from official Virginia Department of Education released SOL tests — good practice while you work on G.DF.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. Using the same shed model, the following dimensions are given: • w = 12 feet • h = 6 feet What is the surface area of the exterior walls and doors of the shed?
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Answer: C — 468 square feet
2. Using the same shed model, if w = 12 feet, which equation correctly models the volume of the shed?
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Answer: J — V = 18(12)(h) + ½(18)(12)(9 − h)
3. A cylinder has a volume of 300π cubic centimeters and a base with a circumference of 10π centimeters. What is the height of the cylinder?
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Answer: C — 12 cm
4. The height of a rectangular prism is decreased by a factor of 1/4. The other dimensions are unchanged. Which statement is true?
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Answer: F — The volume is decreased by a factor of 1/4.
Skills you’ll practice for G.DF.1
- Identify the shape of a two-dimensional cross section of a three-dimensional figure.
- Create models and solve problems, including those in context, involving surface area of three-dimensional figures, as well as composite three-dimensional figures.
- Solve multistep problems, including those in context, involving volume of three-dimensional figures, as well as composite three-dimensional figures.
- Determine unknown measurements of three-dimensional figures using information such as length of a side, area of a face, or volume.
Key concepts covered by G.DF.1
- cross section
- three-dimensional figure
- two-dimensional shape
- surface area
- three-dimensional figures
- composite figures
- problem-solving
- contextual problems
- volume
- multistep problems
- unknown measurements
- side length
- face area
How to study and practice SOL G.DF.1
Start with a quick diagnostic to see whether G.DF.1 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Geometry standards in Two- and Three-Dimensional Figures
- G.DF.2 — Determine the effect of changing dimensions on three-dimensional figures and describe relationships between original and changed figures.
Frequently asked questions about SOL G.DF.1
What is Virginia SOL G.DF.1?
SOL G.DF.1 is a Geometry Standard of Learning in the Two- and Three-Dimensional Figures strand. It expects students to create models and solve problems involving surface area and volume of three-dimensional figures.
What skills does SOL G.DF.1 cover?
SOL G.DF.1 is assessed on 4 skills: identify the shape of a two-dimensional cross section of a three-dimensional figure; create models and solve problems, including those in context, involving surface area of three-dimensional figures, as well as composite three-dimensional figures; solve multistep problems, including those in context, involving volume of three-dimensional figures, as well as composite three-dimensional figures; determine unknown measurements of three-dimensional figures using information such as length of a side, area of a face, or volume.
What strand of Geometry is SOL G.DF.1 in?
SOL G.DF.1 belongs to the Two- and Three-Dimensional Figures reporting strand of the Geometry Virginia Standards of Learning.
How do I study and practice for SOL G.DF.1?
Start with a diagnostic to see whether G.DF.1 is already solid, then work the 4 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.