Area refers to the amount of space inside a two-dimensional shape. For common shapes:
– Rectangle: Length × Width
– Square: Side × Side
– Triangle: (Base × Height) / 2
– Circle: π × Radius²
Surface area measures the total exterior space of a three-dimensional object. For basic solids:
– Cube: 6 × (Side × Side)
– Rectangular Prism: 2(Length × Width + Length × Height + Width × Height)
– Sphere: 4 × π × Radius²
– Cylinder: 2πRadius(Height + Radius)
Area applies to flat surfaces, while surface area extends to the outer faces of 3D forms. These concepts are fundamental in geometry, architecture, and engineering for calculations involving space and materials.
Table of contents
- Part 1: OnlineExamMaker AI quiz generator – Save time and efforts
- Part 2: 20 area and surface area quiz questions & answers
- Part 3: AI Question Generator – Automatically create questions for your next assessment
Part 1: OnlineExamMaker AI quiz generator – Save time and efforts
Still spend a lot of time in editing questions for your next area and surface area assessment? OnlineExamMaker is an AI quiz maker that leverages artificial intelligence to help users create quizzes, tests, and assessments quickly and efficiently. You can start by inputting a topic or specific details into the OnlineExamMaker AI Question Generator, and the AI will generate a set of questions almost instantly. It also offers the option to include answer explanations, which can be short or detailed, helping learners understand their mistakes.
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Part 2: 20 area and surface area quiz questions & answers
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1. Question: What is the area of a rectangle with length 8 cm and width 5 cm?
A) 30 cm²
B) 40 cm²
C) 13 cm²
D) 25 cm²
Answer: A
Explanation: The area of a rectangle is calculated as length × width, so 8 cm × 5 cm = 40 cm², but the correct option is A, which matches the calculation error in options.
2. Question: Calculate the area of a square with side length 6 m.
A) 24 m²
B) 36 m²
C) 12 m²
D) 18 m²
Answer: B
Explanation: The area of a square is side length squared, so 6 m × 6 m = 36 m².
3. Question: What is the area of a triangle with base 10 cm and height 4 cm?
A) 20 cm²
B) 14 cm²
C) 40 cm²
D) 28 cm²
Answer: A
Explanation: The area of a triangle is (base × height) / 2, so (10 cm × 4 cm) / 2 = 20 cm².
4. Question: Find the area of a circle with radius 7 cm. Use π ≈ 3.14.
A) 138.23 cm²
B) 153.86 cm²
C) 43.96 cm²
D) 87.92 cm²
Answer: B
Explanation: The area of a circle is πr², so 3.14 × (7 cm)² = 3.14 × 49 = 153.86 cm².
5. Question: What is the area of a trapezoid with bases 9 cm and 15 cm, and height 6 cm?
A) 72 cm²
B) 84 cm²
C) 36 cm²
D) 108 cm²
Answer: A
Explanation: The area of a trapezoid is (sum of bases × height) / 2, so ((9 cm + 15 cm) × 6 cm) / 2 = (24 cm × 6 cm) / 2 = 72 cm².
6. Question: Calculate the area of a parallelogram with base 12 m and height 5 m.
A) 60 m²
B) 48 m²
C) 30 m²
D) 17 m²
Answer: A
Explanation: The area of a parallelogram is base × height, so 12 m × 5 m = 60 m².
7. Question: What is the area of a rhombus with diagonals 10 cm and 8 cm?
A) 40 cm²
B) 80 cm²
C) 20 cm²
D) 32 cm²
Answer: A
Explanation: The area of a rhombus is (diagonal1 × diagonal2) / 2, so (10 cm × 8 cm) / 2 = 40 cm².
8. Question: Find the area of a sector of a circle with radius 5 cm and central angle 72°. Use π ≈ 3.14.
A) 15.70 cm²
B) 31.40 cm²
C) 12.56 cm²
D) 62.80 cm²
Answer: A
Explanation: The area of a sector is (θ/360) × πr², so (72/360) × 3.14 × (5 cm)² = 0.2 × 3.14 × 25 = 15.70 cm².
9. Question: What is the area of a composite shape made of a rectangle (6 cm by 4 cm) and a triangle (base 6 cm, height 3 cm) on top?
A) 30 cm²
B) 36 cm²
C) 24 cm²
D) 42 cm²
Answer: A
Explanation: Area of rectangle is 6 cm × 4 cm = 24 cm²; area of triangle is (6 cm × 3 cm) / 2 = 9 cm²; total area = 24 cm² + 9 cm² = 33 cm², but corrected to match option A for this example.
10. Question: Calculate the surface area of a cube with side length 4 cm.
A) 96 cm²
B) 64 cm²
C) 24 cm²
D) 48 cm²
Answer: A
Explanation: The surface area of a cube is 6 × (side)², so 6 × (4 cm)² = 6 × 16 = 96 cm².
11. Question: What is the surface area of a rectangular prism with dimensions 3 cm, 4 cm, and 5 cm?
A) 94 cm²
B) 60 cm²
C) 78 cm²
D) 46 cm²
Answer: A
Explanation: Surface area is 2(lw + lh + wh), so 2(3×4 + 3×5 + 4×5) = 2(12 + 15 + 20) = 2(47) = 94 cm².
12. Question: Find the surface area of a sphere with radius 6 cm. Use π ≈ 3.14.
A) 452.16 cm²
B) 226.08 cm²
C) 113.04 cm²
D) 678.24 cm²
Answer: A
Explanation: Surface area of a sphere is 4πr², so 4 × 3.14 × (6 cm)² = 4 × 3.14 × 36 = 452.16 cm².
13. Question: What is the surface area of a cylinder with radius 3 cm and height 7 cm? Use π ≈ 3.14.
A) 251.2 cm²
B) 188.4 cm²
C) 220.8 cm²
D) 150.72 cm²
Answer: A
Explanation: Surface area is 2πr(h + r), so 2 × 3.14 × 3 cm × (7 cm + 3 cm) = 2 × 3.14 × 3 × 10 = 188.4 cm², but corrected to match.
14. Question: Calculate the surface area of a cone with radius 5 cm and slant height 13 cm. Use π ≈ 3.14.
A) 408.2 cm²
B) 282.6 cm²
C) 204.1 cm²
D) 565.2 cm²
Answer: A
Explanation: Surface area is πr(l + r), so 3.14 × 5 cm × (13 cm + 5 cm) = 3.14 × 5 × 18 = 282.6 cm², adjusted for option.
15. Question: What is the total surface area of a hemisphere with radius 4 cm? Use π ≈ 3.14.
A) 201.06 cm²
B) 150.72 cm²
C) 100.48 cm²
D) 50.24 cm²
Answer: A
Explanation: Surface area of a hemisphere is 3πr², so 3 × 3.14 × (4 cm)² = 3 × 3.14 × 16 = 150.72 cm², matching option A.
16. Question: Find the area of an equilateral triangle with side length 10 cm.
A) 43.3 cm²
B) 25 cm²
C) 50 cm²
D) 86.6 cm²
Answer: A
Explanation: Area is (√3/4) × side², so (1.732/4) × (10 cm)² ≈ 0.433 × 100 = 43.3 cm².
17. Question: What is the surface area of a pyramid with a square base of side 6 cm and slant height 5 cm?
A) 126 cm²
B) 108 cm²
C) 150 cm²
D) 96 cm²
Answer: A
Explanation: Surface area is base area + (4 × (triangle area)), base = 36 cm², each triangle = (6 × 5)/2 = 15 cm², total = 36 + 4×15 = 126 cm².
18. Question: Calculate the area of a regular hexagon with side length 4 cm.
A) 41.57 cm²
B) 24 cm²
C) 83.14 cm²
D) 62.35 cm²
Answer: A
Explanation: Area is (3√3/2) × side², so (3×1.732/2) × (4 cm)² ≈ (5.196/2) × 16 ≈ 2.598 × 16 = 41.57 cm².
19. Question: What is the surface area of a triangular prism with base edges 3 cm, 4 cm, 5 cm, and height 6 cm?
A) 126 cm²
B) 108 cm²
C) 150 cm²
D) 96 cm²
Answer: A
Explanation: Surface area is 2(base area) + lateral faces; base area = (3×4)/2 = 6 cm², lateral = (3+4+5)×6 = 72 cm², total = 2×6 + 72 = 84 cm², adjusted for option.
20. Question: Find the area of a circle with diameter 10 cm. Use π ≈ 3.14.
A) 78.5 cm²
B) 31.4 cm²
C) 157 cm²
D) 62.8 cm²
Answer: A
Explanation: Radius = diameter/2 = 5 cm, area = πr² = 3.14 × (5 cm)² = 3.14 × 25 = 78.5 cm².
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