Volume and Surface Area of Prisms - Grade 7 Learning path

Volume and Surface Area of Prisms - Grade 7

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MathGrade 7American curriculumgeometry3D shapes
Volume and Surface Area of Prisms - Grade 7

Learn to calculate the volume and surface area of rectangular and triangular prisms. Practice basic calculations, word problems, finding missing dimensions, and applying concepts to real-world scenarios.

Exercises in this learning path

15 exercises
  1. 1

    Form 1: Volume of Rectangular Prisms - Basic Whole Numbers

    Calculate the volume of rectangular prisms using whole number side lengths. Practice applying basic volume formulas to standard three-dimensional shapes.

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  2. 2

    Form 2: Volume of Rectangular Prisms - Decimals & Fractions

    Calculate the volume of rectangular prisms given fractional or decimal dimensions. Practice using non-integer values in standard volume formulas.

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  3. 3

    Form 3: Surface Area of Rectangular Prisms - Basic Calculations

    Calculate the total surface area of rectangular prisms using basic dimensions. Practice summing the areas of all six rectangular faces.

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  4. 4

    Form 4: Surface Area of Rectangular Prisms - Word Problems

    Solve contextual word problems involving the surface area of rectangular prisms. Apply surface area formulas to determine total outer coverage in real-world scenarios.

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  5. 5

    Form 5: Volume of Right Triangular Prisms - Basic Calculations

    Calculate the volume of right triangular prisms using given dimensions. Practice finding base triangular areas to determine overall prism volume.

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  6. 6

    Form 6: Volume of Triangular Prisms - Word Problems

    Solve practical word problems involving the volume of triangular prisms. Extract measurements from written contexts to calculate total capacity.

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  7. 7

    Form 7: Surface Area of Triangular Prisms - Right-Angled Base

    Calculate the surface area of triangular prisms with right-angled triangular bases. Determine total area by summing the triangular ends and rectangular sides.

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  8. 8

    Form 8: Surface Area of Triangular Prisms - Equilateral & Isosceles Base

    Find the surface area of triangular prisms with equilateral or isosceles bases. Calculate and combine the areas of all triangular and rectangular faces.

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  9. 9

    Form 9: Comparing Volumes of Rectangular and Triangular Prisms

    Compare the volumes of various rectangular and triangular prisms. Evaluate different 3D shapes to determine relative capacity and size.

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  10. 10

    Form 10: Missing Dimensions - Rectangular Prisms

    Determine missing lengths, widths, or heights of rectangular prisms given their volume or surface area. Use reverse calculations to solve for unknown dimensions.

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  11. 11

    Form 11: Missing Dimensions - Triangular Prisms

    Find missing base measurements or heights for triangular prisms using known volume or surface area values. Practice algebraic problem-solving with geometric formulas.

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  12. 12

    Form 12: Real-World Applications - Packaging and Containers

    Apply surface area and volume concepts to real-world scenarios involving packaging and containers. Solve practical problems focused on material usage and storage capacity.

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  13. 13

    Form 13: Real-World Applications - Tents, Roofs, and Structures

    Solve real-world problems involving structures like tents and roofs. Apply prism volume and surface area calculations to practical architectural shapes.

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  14. 14

    Form 14: Surface Area & Volume - Mixed Rectangular and Triangular Prisms

    Practice solving a mix of volume and surface area problems for rectangular and triangular prisms. Identify correct formulas and strategies for different three-dimensional shapes.

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  15. 15

    Form 15: Grade 7 Geometry Master Review - Prisms

    Complete a comprehensive review of volume and surface area concepts for prisms. Test your knowledge across calculations, missing dimensions, and application problems.

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