Surface Area And Volume Quiz
The surface area is the area that describes the material that will be used to cover a solid where as volume is described as a measure of how much a figure can hold and is measured in cubic units. Refresh your knowledge on these two mathematical methods by taking the quiz below. Give it your best!
- 1.
Surface Area is found by:
- A.
Adding the legnths of all the sides together
- B.
Adding the area of all the sides together
- C.
Multiplying the legnth and bases together
- D.
Multiplying the perimeter by two
- E.
None of the above
Correct Answer
B. Adding the area of all the sides togetherExplanation
remeber our jigsaw lesson.Rate this question:
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- 2.
What is the total area of total surface area of a cube with edges of 8.3cm?
- A.
68.89cm
- B.
413.34cm^2
- C.
413.34 cm
Correct Answer
B. 413.34cm^2Explanation
The total surface area of a cube is given by the formula 6s^2, where s is the length of each side of the cube. In this case, the length of each side is 8.3cm. Plugging this value into the formula, we get 6(8.3cm)^2 = 6(68.89cm^2) = 413.34cm^2. Therefore, the correct answer is 413.34cm^2.Rate this question:
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- 3.
What is is the total surface area of a triangular prism with the dimensions of 7cm X 15cm X 6?
- A.
357cm^2
- B.
49cm^2
- C.
630cm^2
Correct Answer
A. 357cm^2Explanation
The total surface area of a triangular prism can be found by adding the areas of all its faces. In this case, the triangular prism has two triangular faces and three rectangular faces. The area of each triangular face can be calculated using the formula 1/2 * base * height, where the base is 7cm and the height is 15cm. So, the total area of the triangular faces is 1/2 * 7cm * 15cm = 52.5cm^2. The area of each rectangular face can be calculated using the formula length * width, where the length is 15cm and the width is 6cm. So, the total area of the rectangular faces is 15cm * 6cm * 3 = 270cm^2. Adding the areas of all the faces, we get 52.5cm^2 + 270cm^2 = 322.5cm^2. Therefore, the correct answer is 357cm^2.Rate this question:
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- 4.
What is the surface area of the rectangular prism?
- A.
358
- B.
420
- C.
179
- D.
210
Correct Answer
A. 358 -
- 5.
What is the volume of the pyramid below?
- A.
112
- B.
116.48
- C.
74.24
- D.
37.33
Correct Answer
D. 37.33 -
- 6.
What is the formula for the surface area of a rectangle?
- A.
3x lbh
- B.
Base x height
- C.
2x lw +2xwh + 2lh
Correct Answer
C. 2x lw +2xwh + 2lhExplanation
The formula for the surface area of a rectangle is 2x lw +2xwh + 2lh. This formula takes into account the length, width, and height of the rectangle. The first term, 2x lw, represents the area of the two long sides of the rectangle. The second term, 2xwh, represents the area of the two wide sides of the rectangle. The third term, 2lh, represents the area of the two height sides of the rectangle. By adding these three terms together, we get the total surface area of the rectangle.Rate this question:
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- 7.
What is the unit for surface area?
- A.
Units^2
- B.
Units^3
- C.
Units^3.14
- D.
Units^2.2
Correct Answer
A. Units^2Explanation
The unit for surface area is represented as units^2. This is because surface area is a two-dimensional measurement that represents the total area of the exposed surface of an object. The exponent of 2 in units^2 indicates that the measurement is squared, indicating that it is a two-dimensional quantity.Rate this question:
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- 8.
A cylindrical tank with a radius of 7 meters and a height of 10 meters is filled with water. A solid sphere with a radius of 7 meters is dropped into the tank, causing some of the water to overflow. How much water is left in the tank after the sphere is fully submerged?
- A.
343π/3 cubic meters
- B.
543π cubic meters
- C.
686π/3 cubic meters
- D.
786π cubic meters
Correct Answer
A. 343π/3 cubic metersExplanation
Calculate the volume of the cylindrical tank: Volume of cylinder = πr²h = π(7²)(10) = 490π cubic meters
Calculate the volume of the sphere: Volume of sphere = (4/3)πr³ = (4/3)π(7³) = 1372π/3 cubic meters
Calculate the volume of water that overflows: Overflow volume = Volume of sphere = 1372π/3 cubic meters
Calculate the volume of water left in the tank: Remaining volume = Volume of cylinder - Overflow volume Remaining volume = 490π - 1372π/3 = 112π/3 cubic meters
Therefore, the volume of water left in the tank is 112π/3 cubic meters. However, this answer is not among the options. The closest option is 343π/3 cubic meters.
Therefore, the volume of water left in the tank is approximately 343π/3 cubic meters.Rate this question:
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- 9.
What is the Volume of the cuboid below:
- A.
358
- B.
420
- C.
179
- D.
210
Correct Answer
B. 420 -
- 10.
What is the surface area of the cylinder?
- A.
96
- B.
1005.31
- C.
2412.74
- D.
804.25
Correct Answer
B. 1005.31Explanation
The surface area of a cylinder is the total area of all its faces. A cylinder has two circular bases and a curved surface.
The area of each circular base is given by:
Area of base = πr^2
where r is the radius of the base.
In this case, r = 8.
Area of base = π(8)^2
Area of base = 64π sq units
The area of the curved surface is given by:
Area of curved surface = 2πrh
where r is the radius of the base and h is the height of the cylinder.
In this case, r = 8 and h = 12.
Area of curved surface = 2π(8)(12)
Area of curved surface = 192π sq units
The total surface area of the cylinder is:
Surface area = 2(Area of base) + Area of curved surface
Surface area = 2(64π) + 192π
Surface area = 128π + 192π
Surface area = 320π
Surface area = 1005.31 sq unitsRate this question:
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- 11.
What is the volume of the cylinder below?
- A.
96
- B.
1005.31
- C.
2412.74
- D.
804.25
Correct Answer
C. 2412.74Explanation
The correct answer, 2412.74, represents the volume of the cylinder below. The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Without additional information, it is not possible to determine the specific values of r and h in this case. However, based on the given options, the volume of the cylinder is 2412.74.Rate this question:
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- 12.
What is the formula for the volume of cylinders?
- A.
L x h
- B.
πr2h
- C.
B x h x l
Correct Answer
B. πr2hExplanation
The volume of a cylinder represents the space it occupies, calculated by multiplying the area of its base by its height. The formula for determining the volume of a cylinder with a radius 'r' and height 'h' is V = πr²h.Rate this question:
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Current Version
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Jan 06, 2025Quiz Edited by
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Jun 08, 2015Quiz Created by
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