Grade 7 Math · Measurement and Geometry

Virginia SOL 7.MG.1

Virginia SOL 7.MG.1 is part of the Measurement and Geometry strand in Grade 7 Math (Math). Under this Standards of Learning objective, students investigate and apply volume and surface area formulas for right cylinders and rectangular prisms. Below is what 7.MG.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 7.MG.1 for the Virginia SOL test.

Practice 7.MG.1 All Grade 7 Math standards

What SOL 7.MG.1 means

Investigate and apply volume and surface area formulas for right cylinders and rectangular prisms.

Practice Grade 7 Math SOL questions

Free Grade 7 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 7.MG.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

1. The following is true about similar triangles ABC and DEF: AB/DE = BC/EF = AC/DF = 2/1 Which could be the lengths of BC and EF?
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Answer: A — BC = 6 and EF = 3
2. Trevor covered a cylindrical can with paper. The can is 18 centimeters tall and has a radius of 5 centimeters. Which is closest to the minimum amount of paper needed to cover the entire can, including the top and bottom?
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Answer: H — 722 cm²
3. Which of the following quadrilaterals has exactly one pair of parallel sides?
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Answer: B — Trapezoid
4. A polygon has 7 sides. What type of polygon is it?
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Answer: H — Heptagon

→ Take the full free Grade 7 Math SOL practice test

Skills you’ll practice for 7.MG.1

Develop the formula for the volume of right cylinders and solve contextual problems using the formula.
Develop the formulas for surface area of rectangular prisms and right cylinders and solve contextual problems using the formulas.
Determine if a contextual problem involving a rectangular prism or right cylinder represents volume or surface area.
Describe how the volume of a rectangular prism is affected when one measured attribute is multiplied by a factor of 1/2, 1/3, 1/4, 2, 3, or 4.
Describe how the surface area of a rectangular prism is affected when one measured attribute is multiplied by a factor of 1/2 or 2.

Key concepts covered by 7.MG.1

volume
right cylinder
formula development
contextual problems
surface area
rectangular prism
scaling
factors

How to study and practice SOL 7.MG.1

Start with a quick diagnostic to see whether 7.MG.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.

→ Take the free Grade 7 Math SOL practice test

7.MG.2 — Solve problems and justify relationships of similarity using proportional reasoning.
7.MG.3 — Compare and contrast quadrilaterals based on properties and determine unknown side lengths and angle measures.
7.MG.4 — Apply dilations of polygons in the coordinate plane.

Frequently asked questions about SOL 7.MG.1

What is Virginia SOL 7.MG.1?

SOL 7.MG.1 is a Grade 7 Math Standard of Learning in the Measurement and Geometry strand. It expects students to investigate and apply volume and surface area formulas for right cylinders and rectangular prisms.

What skills does SOL 7.MG.1 cover?

SOL 7.MG.1 is assessed on 5 skills: develop the formula for the volume of right cylinders and solve contextual problems using the formula; develop the formulas for surface area of rectangular prisms and right cylinders and solve contextual problems using the formulas; determine if a contextual problem involving a rectangular prism or right cylinder represents volume or surface area; describe how the volume of a rectangular prism is affected when one measured attribute is multiplied by a factor of 1/2, 1/3, 1/4, 2, 3, or 4; describe how the surface area of a rectangular prism is affected when one measured attribute is multiplied by a factor of 1/2 or 2.

What strand of Grade 7 Math is SOL 7.MG.1 in?

SOL 7.MG.1 belongs to the Measurement and Geometry reporting strand of the Grade 7 Math Virginia Standards of Learning.

How do I study and practice for SOL 7.MG.1?

Start with a diagnostic to see whether 7.MG.1 is already solid, then work the 5 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.