# Surface Area And Volume Quiz

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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

B. Adding the area of all the sides together
Explanation
remeber our jigsaw lesson.

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• 2.

### Given a cylinder with a radius of 5 and a hight of seven, what is the surface area?

• A.

219.8 units squared

• B.

157 units squared

• C.

376.8 units squared

• D.

298.3 units squared

• E.

None of the above

C. 376.8 units squared
Explanation
circumfrence* hight + circle on top+ circle on bottom=
31.4*7 + 78.5 + 78.5

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• 3.

### 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

B. 413.34cm^2
Explanation
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.

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• 4.

### 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

A. 357cm^2
Explanation
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.

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• 5.

• A.

358

• B.

420

• C.

179

• D.

210

A. 358
• 6.

• A.

112

• B.

116.48

• C.

74.24

• D.

37.33

D. 37.33
• 7.

### What is the formula for the surface area of a rectangle?

• A.

3x lbh

• B.

Base x height

• C.

2x lw +2xwh + 2lh

C. 2x lw +2xwh + 2lh
Explanation
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.

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• 8.

### What is the unit for surface area?

• A.

Units^2

• B.

Units^3

• C.

Units^3.14

• D.

Units^2.2

A. Units^2
Explanation
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.

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• 9.

• A.

358

• B.

420

• C.

179

• D.

210

B. 420
• 10.

### What is the surface area of the cylinder?

• A.

96

• B.

1005.31

• C.

2412.74

• D.

804.25

B. 1005.31
Explanation
The correct answer is 1005.31. To find the surface area of a cylinder, we need to calculate the sum of the areas of its two bases and the lateral surface area. The formula for the surface area of a cylinder is 2πr^2 + 2πrh, where r is the radius and h is the height. Without any additional information provided in the question, we cannot determine the values of r and h. Therefore, we cannot calculate the exact surface area of the cylinder. The given answer of 1005.31 is likely a result of a calculation based on specific values of r and h.

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• 11.

### What is the volume of the cylinder below?

• A.

96

• B.

1005.31

• C.

2412.74

• D.

804.25

C. 2412.74
Explanation
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.

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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

B. πr2h
Explanation
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.

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• Current Version
• Mar 13, 2024
Quiz Edited by
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• Jun 08, 2015
Quiz Created by
Alnosoff

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