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Area, Perimeter, Volume Practice

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Area, Perimeter, Volume Practice worksheet preview

Area, Perimeter, Volume Practice

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📚 Part 1: Multiple Choice & Quick Checks (Area & Perimeter)

1. Rectangle area — Diagram: rectangle 6 ft by 4 ft. What is the area?

10 ft²

24 ft²

20 ft²

12 ft²

2. Triangle area — Diagram: right triangle with base 8 in and height 5 in. What is the area?

20 in²

40 in²

13 in²

10 in²

3. Circle area — Diagram: circle with radius 7 in. Which is the exact area?

49π in²

154 in²

98π in²

28π in²

4. Perimeter — Diagram: trapezoid with side lengths 6 ft, 8 ft, 5 ft, and 7 ft. What is the perimeter?

26 ft

24 ft

18 ft

36 ft

5. Check all that apply: Which shapes use a "1/2 × base × height" formula for area?

Triangle

Parallelogram

Trapezoid

Rectangle

6. Parallelogram area — Diagram: parallelogram with base 9 m and height 4 m. Find the area.

36 m²

18 m²

13 m²

45 m²

✏️ Part 2: Short Answer & Volume Problems (Show work)

7. Rectangular prism volume — Diagram: prism 6 ft × 3 ft × 2 ft. Find the volume (cubic feet) and show work.
8. Cylinder volume — Diagram: cylinder with radius 5 in and height 10 in. Give the exact volume in terms of π and an approximate volume (use π ≈ 3.14).
9. Trapezoid area — Diagram: trapezoid with bases 10 ft and 6 ft, height 4 ft. Compute the area and show the formula used.
10. Real-world problem — A rectangular garden is 12 ft by 4 ft.

a) How many feet of fencing are needed to go around the garden? _________ ft

b) If topsoil is spread to a depth of 2 inches over the garden, how many cubic feet of topsoil are needed? (Show conversions and work.)

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