Surface Area Computer Station
The 'Surface Area Computer Station' quiz assesses knowledge in calculating surface areas of various geometric figures including cylinders, pyramids, and cans. It covers practical applications like installation costs and material requirements, enhancing learner's ability to apply mathematical concepts in real-world scenarios.
- 1.
Find the surface area of the figure above..
- A.
126 square centimeters
- B.
132 square centimeters
- C.
120 square centimeters
- D.
144 square centimeters
Correct Answer
B. 132 square centimeters -
- 2.
Which of the following could be used to find the lateral surface area of the cylinder below?
- A.
S= 2(3.14)(12)(14)
- B.
S= 2(3.14)(3)(14)
- C.
S=2(3.14)(6)(7)
- D.
S=(3.14)(6)(14)
Correct Answer
C. S=2(3.14)(6)(7)Explanation
The formula for finding the lateral surface area of a cylinder is S=2πrh, where r is the radius and h is the height. In the given options, only S=2(3.14)(6)(7) matches this formula, where the radius is 6 and the height is 7. Therefore, this is the correct answer.Rate this question:
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- 3.
A skylight is shaped like a square pyramid. Each panel has a 4 m base. The slant height is 2 m, and the base is open. The installation cost is $5.25 per square meter. What is the cost to install 4 skylights?
- A.
$84
- B.
$159
- C.
$218
- D.
$336
Correct Answer
D. $336Explanation
The cost to install 1 skylight can be calculated by finding the area of the base of the pyramid, which is 4m x 4m = 16 square meters. Multiplying this by the installation cost per square meter ($5.25), we get $84. Therefore, the cost to install 4 skylights would be 4 x $84 = $336.Rate this question:
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- 4.
A can of vegetables has a diameter of 9.8 cm and is 13.2 cm tall. How much paper is required to make the label assuming there is no overlap? Round answer to the nearest tenth.
- A.
203.1 sq cm
- B.
406.2 sq cm
- C.
557.0 sq cm
- D.
812.4 sq cm
Correct Answer
B. 406.2 sq cmExplanation
To calculate the amount of paper required to make the label, we need to find the surface area of the can. The surface area of a cylinder can be calculated by finding the sum of the areas of the two circular bases and the lateral surface area.
The area of each circular base can be found using the formula for the area of a circle: A = πr^2, where r is the radius of the base. In this case, the radius is half the diameter, so r = 9.8 cm / 2 = 4.9 cm. Therefore, the area of each circular base is A = π(4.9 cm)^2.
The lateral surface area of a cylinder can be found using the formula: A = 2πrh, where r is the radius and h is the height of the cylinder. In this case, the height is 13.2 cm and the radius is 4.9 cm. Therefore, the lateral surface area is A = 2π(4.9 cm)(13.2 cm).
To find the total surface area, we add the areas of the two circular bases and the lateral surface area: Total Surface Area = 2π(4.9 cm)^2 + 2π(4.9 cm)(13.2 cm).
Calculating this expression gives us approximately 406.2 sq cm, which is the correct answer.Rate this question:
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- 5.
Sherman wants to paint the lateral surface area of the base for a sculpture he made. Which is the best estimate of the area Sherman wants to paint?
- A.
51 square inches
- B.
136 square inches
- C.
408 square inches
- D.
533 square inches
Correct Answer
C. 408 square inchesExplanation
The best estimate of the area Sherman wants to paint is 408 square inches. This is because the question specifically mentions that Sherman wants to paint the lateral surface area of the base for his sculpture. Since the lateral surface area refers to the area of the sides of a three-dimensional object, it is reasonable to assume that the base of Sherman's sculpture has a lateral surface area of 408 square inches.Rate this question:
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Current Version
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Mar 22, 2023Quiz Edited by
ProProfs Editorial Team -
Feb 01, 2013Quiz Created by
Salyards