Lateral & Surface Area Quiz

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| By Jansencatalin

Jansencatalin

Community Contributor

Quizzes Created: 1 | Total Attempts: 817

Questions: 8 | Attempts: 819 | Updated: Mar 21, 2023

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Questions and Answers

1.

Solve for the right cylinder ( Make sure you round to the whole number )
- A.
  
  1508 sq. units
- B.
  
  1156 sq. units
- C.
  
  540 sq. units
- D.
  
  955 sq. units
Correct Answer
A. 1508 sq. units
2.

Find the Surface Area
- A.
  
  49.1 in2
- B.
  
  29.4 in2
- C.
  
  44.2 in2
- D.
  
  39.3 in2
Correct Answer
A. 49.1 in2
3.

Find the lateral area of the cone ( round to the nearest tenth )
- A.
  
  66.0 m2
- B.
  
  75.4 m2
- C.
  
  47.1 m2
- D.
  
  37.7 m2
Correct Answer
C. 47.1 m2
4.

Find the surface area. Round to the nearest tenth A shpere with a diameter of 1.2 meters
- A.
  
  18.3 m2
- B.
  
  4.5 m2
- C.
  
  0.7 m2
- D.
  
  7.6 m2
Correct Answer
B. 4.5 m2

Explanation
The surface area of a sphere can be calculated using the formula 4πr^2, where r is the radius of the sphere. In this case, the diameter of the sphere is given as 1.2 meters, so the radius would be half of that, which is 0.6 meters. Plugging this value into the formula, we get 4π(0.6)^2 = 4π(0.36) = 1.44π. Rounding this to the nearest tenth gives approximately 4.5 m2, which matches the given answer.

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5.

Draw a cube with length 3 and height 3 Find width,,, Surface Area = 54 cm²
- A.
  
  9 cm2
- B.
  
  12 cm2
- C.
  
  3 cm2
- D.
  
  6 cm2
- E.
  
  15 cm2
- F.
  
  2 cm2
- G.
  
  4 cm2
Correct Answer
C. 3 cm2
6.

Find the lateral area of a rectangular prism..... Length = 8,, Height = 2,, Width = 4
- A.
  
  45 cm2
- B.
  
  46 cm2
- C.
  
  47 cm2
- D.
  
  48 cm2
Correct Answer
D. 48 cm2

Explanation
The lateral area of a rectangular prism is calculated by finding the sum of the areas of all the sides excluding the top and bottom faces. In this case, the length is 8 cm, the height is 2 cm, and the width is 4 cm. The lateral area can be found by multiplying the height by the sum of the length and width, and then doubling the result. Therefore, the lateral area is (2 cm) * (8 cm + 4 cm) * 2 = 48 cm2.

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7.

Surface Area for Cone... Height = 8 cm...Radius = 6 cm...
- A.
  
  96 cm2
- B.
  
  72 cm2
- C.
  
  165 cm2
- D.
  
  45.92 cm2
Correct Answer
A. 96 cm2

Explanation
The surface area of a cone can be calculated using the formula A = πr(r + √(r^2 + h^2)), where r is the radius and h is the height of the cone. Plugging in the given values of r = 6 cm and h = 8 cm into the formula, we get A = π(6)(6 + √(6^2 + 8^2)). Simplifying this expression gives A ≈ 96 cm^2. Therefore, the correct answer is 96 cm^2.

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8.

Surface Area for Cone... Height = 8 cm...Radius = 6 cm...
- A.
  
  96 cm2
- B.
  
  72 cm2
- C.
  
  165 cm2
- D.
  
  45.92 cm2
Correct Answer
A. 96 cm2

Explanation
The surface area of a cone is calculated using the formula A = πr(r + √(r^2 + h^2)), where r is the radius and h is the height of the cone. Plugging in the given values of r = 6 cm and h = 8 cm into the formula, we get A = π(6)(6 + √(6^2 + 8^2)) = 96 cm^2. Therefore, the correct answer is 96 cm^2.

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