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Unit 08 · Area Volume and Surface AreaUnit Test

Day 120Unit 8 Test

DirectionsQuestionsAnswer keyPDF packet ↗
Standards 6.EE.B.76.EE.B.66.EE.B.86.EE.C.96.G.A.16.G.A.36.G.A.26.G.A.4
LEARNING TARGET

I can apply the skills taught so far, show my reasoning, and check my answers.

01 · DIRECTIONS

Show what you know

Questions 1–4 review Unit 7 (20%). The remaining 16 questions assess the current unit. Show your work, simplify exact answers, label units, and explain when asked.

20 questions5 points each · 100 total
02 · ASSESSMENT

Unit Test

Begin with the review questions, then continue through the current-unit questions.

  1. Previous unit review

    Solve x - 7 = 5/2. Check in the original equation.

  2. Previous unit review

    A collection grows by 8 cards to 32 cards. Let x be the starting count. Write and solve an equation.

  3. Previous unit review

    Let x be any real number. Write and graph: x is less than 16. Label the endpoint and shade the solution ray.

  4. Previous unit review

    For y = 6x + 4, make a table for x = 0, 1, 2, 6. Plot the ordered pairs and label both axes.

  5. Current unit

    Sketch a triangle with base 10 cm and perpendicular height 6 cm. Find its area.

  6. Current unit

    Sketch a triangle with base 10 cm and perpendicular height 2 cm. Find its area.

  7. Current unit

    A parallelogram has base 3 m and perpendicular height 3 m. Sketch how it can be rearranged into a rectangle and find its area.

  8. Current unit

    An L-shaped garden is a 9 m by 8 m rectangle with an 7 m by 6 m corner rectangle removed. Sketch and find the garden area.

  9. Current unit

    Plot and connect (-8,-6), (2,-6), (2,2), (-8,2). Find the side lengths and area.

  10. Current unit

    A rectangular prism has edges 4, 2, and 5 cm. Sketch it and find its volume.

  11. Current unit

    A rectangular prism has edges 4, 2 1/2, and 2 cm. Sketch it and find its volume.

  12. Current unit

    Fill a prism 2 × 2 × 3/2 units with cubes of edge 1/2 unit. How many cubes fit? Use their volumes to verify lwh.

  13. Current unit

    Draw a net for a closed 2 × 3 × 4 cm rectangular prism. Label the six faces and calculate total area.

  14. Current unit

    A 5 cm by 2 cm base and 5 cm height form an open-top box. Draw its net and find the material area. Ignore tabs and overlap.

  15. Current unit

    A square pyramid has base edge 12 cm. Each triangular face has perpendicular face height 12 cm. Draw a net and calculate total surface area. Explain why the vertical pyramid height is not needed.

  16. Current unit

    A 4 cm by 7 cm base and 4 cm height form an open-top box. Draw its net and find the material area. Ignore tabs and overlap.

  17. Current unit

    Sketch a triangle with base 14 cm and perpendicular height 2 cm. Find its area. Explain why the slanted side is not needed.

  18. Current unit

    Sketch a triangle with base 6 cm and perpendicular height 7/2 cm. Find its area. Explain why the slanted side is not needed.

  19. Current unit

    A trapezoid has parallel bases 8 m and 20 m and perpendicular height 4 m. Sketch it and find its area.

  20. Current unit

    A 9 m by 10 m rectangle has a right-triangle corner removed with perpendicular legs 5 m and 5 m. Sketch the remaining polygon and find its area.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. x = 19/2

    Add 7 on both sides. Then x = 19/2; substitution gives 5/2 on each side.

  2. x + 8 = 32; x = 24 cards

    Subtract 8 from both sides; 24 + 8 = 32.

  3. x < 16; open circle at 16, shade left

    “less than” means <; exclude the endpoint.

  4. (0, 4); (1, 10); (2, 16); (6, 40)

    Substitute each input into y = 6x + 4; x is horizontal and y vertical.

  5. 30 cm²

    A = bh/2 = 10 × 6 ÷ 2 = 30. Two such triangles make a parallelogram.

  6. 10 cm²

    A = bh/2 = 10 × 2 ÷ 2 = 10. Two such triangles make a parallelogram.

  7. 9 m²

    Cut and shift a corner; A = bh = 3 × 3 = 9.

  8. 30 m²

    Outer area 72 minus cutout 42 = 30.

  9. Sides 10 and 8; area 80 square units

    Horizontal length 2 - (-8) = 10; vertical length 2 - (-6) = 8; area = 10 × 8.

  10. 40 cm³

    B = 4 × 2 = 8 cm²; V = B × 5 = 40 cm³.

  11. 20 cm³

    B = 4 × 5/2 = 10 cm²; V = B × 2 = 20 cm³.

  12. 48 cubes; each 1/8 cubic unit; prism 6 cubic units

    Counts along edges: 4, 4, 3. Product 48; 48 × 1/8 = 6, also lwh.

  13. 2 faces each of 2×3, 2×4, 3×4; 52 cm²

    Add 2(6) + 2(8) + 2(12) = 52.

  14. 80 cm²

    Closed surface area = 2(10+25+10) = 90. Remove the top area 10: 80.

  15. 432 cm²

    Base = 144; each triangle = 12 × 12 ÷ 2 = 72; add four triangles to get 432.

  16. 116 cm²

    Closed surface area = 2(28+16+28) = 144. Remove the top area 28: 116.

  17. 14 cm²

    A = bh/2 = 14 × 2 ÷ 2 = 14. Two such triangles make a parallelogram.

  18. 21/2 cm²

    A = bh/2 = 6 × 7/2 ÷ 2 = 21/2. Two such triangles make a parallelogram.

  19. 56 m²

    A = (8 + 20) × 4 ÷ 2 = 56.

  20. 155/2 m²

    Whole rectangle 90; remove triangle 25/2; difference 155/2.

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