Wyoming Math 7.G.6b
The Standard
Solve real-world and mathematical problems involving: Volume of objects composed only of right prisms having triangular or quadrilateral bases.
2023 Wyoming Mathematics Content and Performance Standards · Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students split a solid into right prisms with triangular or quadrilateral bases. They find each base area, multiply by the prism’s length, and add the volumes.
What Mastery Looks Like
- Given a shed with a box-shaped room and a triangular-prism roof, a student finds the volume of each part. They add the volumes without counting any space twice and label the answer in cubic units.
Common Misconceptions
- Students may forget to halve the area of a triangular base. They may use the sloping roof edge as the triangle’s height, or add base areas without multiplying by the prism’s length.
How to Assess It
- Exit ticket: A shed is 8 cm long and 4 cm wide, with 3 cm walls and a triangular roof rising 2 cm. Find its total volume and show both parts.
Lesson moves
Ways to Teach It
Fold matching paper nets into a box and triangular roof; tape them together, then measure each part and calculate the total volume.
Sketch a shed with a 10-by-6-cm floor, 4-cm walls, and a 2-cm roof rise; explain why the roof calculation uses one-half.
Partners race to find volumes for three shed cards: 8-by-4-cm floors, 2-cm roof rises, and wall heights of 2, 3, or 4 cm.
Sketch a 12-by-6-meter barn with 3-meter walls and a 2-meter triangular roof rise; calculate its interior air volume.
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Printable 7.G.6b Worksheet
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