Lateral & Surface Area Quiz

1.

Solve for the right cylinder ( Make sure you round to the whole number )

1508 sq. units

1156 sq. units

540 sq. units

955 sq. units

not-available-via-ai

Explanation

not-available-via-ai

2.

Find the Surface Area

49.1 in2

29.4 in2

44.2 in2

39.3 in2

not-available-via-ai

Explanation

not-available-via-ai

3. Surface Area for Cone... Height = 8 cm...Radius = 6 cm...

96 cm2

72 cm2

165 cm2

45.92 cm2

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.

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.

4. Find the surface area. Round to the nearest tenth A shpere with a diameter of 1.2 meters

18.3 m2

4.5 m2

0.7 m2

7.6 m2

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.

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.

5. Find the lateral area of a rectangular prism..... Length = 8,, Height = 2,, Width = 4

45 cm2

46 cm2

47 cm2

48 cm2

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.

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.

6.

Find the lateral area of the cone ( round to the nearest tenth )

66.0 m2

75.4 m2

47.1 m2

37.7 m2

not-available-via-ai

Explanation

not-available-via-ai

7. Draw a cube with length 3 and height 3 Find width,,, Surface Area = 54 cm²

9 cm2

12 cm2

3 cm2

6 cm2

15 cm2

2 cm2

4 cm2

not-available-via-ai

Explanation

not-available-via-ai

8. Surface Area for Cone... Height = 8 cm...Radius = 6 cm...

96 cm2

72 cm2

165 cm2

45.92 cm2

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.

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.