Area, Surface Area, & Volume of Composite Figures TEST PRACTICE
- Grades
- Grade 7, Middle School
- File type
- Preparation
- Print ready
- Subject
- Math, Geometry
- Topic
- google forms, area
- Resource types
- Tests, Quizzes and Tests, Teacher Tools
- Preparation
- Print ready
- Standards
- 7.G.B.6
About this resource
What's inside this resource
This resource was developed to PARTIALLY meet the requirements of the 7th Grade Geometry Standard below:
CCSS.MATH.CONTENT.7.G.B.6
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
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In the classroom
Teaching tips & learning objectives
Learning objectives
Find the area of a composite two-dimensional figure by decomposing it into simpler shapes.
Find the surface area of a composite three-dimensional figure.
Find the volume of a composite three-dimensional figure, including figures with varying depth.
Teaching tips
Assign the printable version for in-class testing or the linked Google Forms version for a digital assignment, since both are provided for the same 10 questions.
Use the strategy-comparison question as a class discussion starter on multiple valid approaches to decomposing a composite figure, rather than only as a scored item.
Pair this set with a separate resource for circle-based composite figures, since the cover page notes those are intentionally excluded here.
Skills covered
Composite-figure area -- students decompose irregular 2D shapes into rectangles and other simple shapes to find total area.
Surface area of 3D composites -- students calculate the total surface area of solids built from simpler prisms.
Volume of composites -- students find the volume of 3D figures with varying dimensions, including a pool that changes depth.
Good to know
Questions teachers ask about this resource
What kinds of composite figures does this practice cover?
It covers figures built from triangles, quadrilaterals, polygons, cubes and right prisms, matching the shapes named in CCSS.7.G.B.6; circular composite figures are intentionally left out of this set.
Is a digital version of this test available?
Yes -- the same 10 questions are also available as a linked Google Forms version, so the test can be assigned in print or digitally.
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Curriculum
Standards, concepts & topics
Standards
Standards
- 7.G.B.6 — Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Core concepts
Core concepts
composite figures
area
surface area
volume
Topics
Topics
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