Surface Areas and Volumes

Topics in this chapter

• Surface Area Measurement
• Cube and Cuboid Measures
• Cylinder Surface and Volume
• Cone Measures and Slant Height
• Sphere and Hemisphere Measures
• Capacity and Volume Applications
• Composite, Hollow, and Recast Solids
• Scaling, Ratios, and Percentage Change

Cheat sheet

Practice questions

1. Question 1Q-7E2DBD

   What is the total surface area of a solid hemisphere of radius $r$?

   1. A.$2\pi r^2$
   2. B.$3\pi r^2$
   3. C.$4\pi r^2$
   4. D.$\frac{2}{3}\pi r^3$
   See the answer and solution
2. Question 2Q-CA95FD

   If the radius of a sphere is doubled, how many times does its volume increase?

   1. A.2 times
   2. B.4 times
   3. C.8 times
   4. D.16 times
   See the answer and solution
3. Question 3Q-408225

   The curved surface area of a right circular cylinder of height $h$ and base radius $r$ is:

   1. A.$2\pi rh$
   2. B.$\pi r^2 h$
   3. C.$2\pi r(r + h)$
   4. D.$\pi rh$
   See the answer and solution
4. Question 4Q-B188C7

   The total surface area of a cube is $216\text{ cm}^2$. Find the length of its edge.

   1. A.$4\text{ cm}$
   2. B.$5\text{ cm}$
   3. C.$6\text{ cm}$
   4. D.$36\text{ cm}$
   See the answer and solution
5. Question 5Q-E0C6EC

   How many liters of water can a cuboidal water tank hold, measuring $6\text{ m} \times 5\text{ m} \times 4\text{ m}$? (Given $1\text{ m}^3 = 1000\text{ liters}$)

   1. A.$120,000\text{ liters}$
   2. B.$12,000\text{ liters}$
   3. C.$1,200,000\text{ liters}$
   4. D.$120\text{ liters}$
   See the answer and solution