StudyXY

Q
QuestionArt

Explain the difference between area, volume, and surface area. Select a geometric shape and give an example of how to calculate its surface area and volume. How would you teach these concepts to a class?

3 months agoReport content

Answer

Full Solution Locked

Sign in to view the complete step-by-step solution and unlock all study resources.

Step 1

The difference between area, volume, and surface area: Area is a measure of the amount of space occupied by a two-dimensional object, usually measured in square units (e.g., square centimeters, square inches). It represents the region enclosed by the object's boundary. Volume is a measure of the amount of space occupied by a three-dimensional object, usually measured in cubic units (e.g., cubic centimeters, cubic inches). It represents the amount of space that the object takes up. Surface area is a measure of the total area of the outer surface of a three-dimensional object, usually measured in square units. It represents the sum of the areas of all the faces or surfaces of the object.

Step 2

Example: Calculating surface area and volume of a cube: A cube is a three-dimensional object with six identical square faces. Surface Area: The surface area of a cube can be calculated using the formula: \text{Surface Area} = 6s^2 Volume: The volume of a cube can be calculated using the formula: \text{Volume} = s^3

Final Answer

Area, volume, and surface area are measures of space occupied by two-dimensional and three-dimensional objects. To calculate the surface area and volume of a cube, use the formulas:

\text{Surface Area} = 6s^2

\text{Volume} = s^3

Teaching these concepts involves introducing definitions, providing examples, and engaging students in hands-on activities and problem-solving.

Need Help with Homework?

Stuck on a difficult problem? We've got you covered:

Post your question or upload an image
Get instant step-by-step solutions
Learn from our AI and community of students

Related Questions

For BBr₃, write about its electron geometry, molecule shape, bond angles around the central atom, and molecular polarity (polar or non-polar).

Focal and Accent Points: In painting: David and Goliath by Michelangelo Caravaggio (Refer to Chapter 7 of Visual Literacy) What is the focal point in the artwork? Where are your eyes drawn? Where are the accent points in the artwork?

Please watch the Leadership Training Day video and complete the exercises in the NSLS Program Guide as prompted throughout the video. In order to receive credit for this step, answer the questions below and click submit. Your advisor will review your responses and give you credit for this step. NOTE: You do not have to turn in your NSLS Program guide in order to receive credit. 1. There are four Goal Categories. What are the four categories? * 2. From the Future Mad-Lib activity, write out your FUTURE goal statement (page 11 in the Online Program Guide) * 3. Setting SMART goals will help you achieve your future goal. What is the SMART goal formula? * 4. What must a leader do in order to create an inclusive network and team? *

5b) i. What are the six 6 types of terrine moulds? ii. Briefly describe the ways of preparing moulds for pâtés using suitable ingredients (max. 100 words). 5c) Answer the following questions i. What are binding agents? Give 5 examples (50-60 words). ii. What is forcemeat? Name 5 common types of meat used for forcemeats and 5 charcuterie dishes produced.

How does Frida Kahlo's wounded deer reflect the technological innovations or innovative thinking from the period in which it was created

An artist who is avant-garde is NOT ___________. a. experimental b. unorthodox c. a follower d. ahead of his or her time