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Area, Perimeter, Volume Practice
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Area, Perimeter, Volume Practice
📚 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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