{"id":8265,"date":"2017-05-25T19:44:05","date_gmt":"2017-05-25T19:44:05","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&p=8265"},"modified":"2019-05-27T05:49:35","modified_gmt":"2019-05-27T05:49:35","slug":"solve-geometry-applications-volume-and-surface-area","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/solve-geometry-applications-volume-and-surface-area\/","title":{"raw":"Introduction to Solving Problems Using Volume and Surface Area","rendered":"Introduction to Solving Problems Using Volume and Surface Area"},"content":{"raw":"

What you'll learn to do: Solve problems using the volume and surface area of solid figures<\/h2>\r\n\"\"<\/a>\r\n\r\nJosie is a kindergarten teacher and wants to make felt toys for her students. These felt toys will be cylinders, meant to replicate cans. She wants to put the felt toys in the new play kitchen in her classroom. To find the amount of felt she needs, Josie will need to calculate the surface area of the cans she plans to make. This chapter will explain how to find surface area of different objects, including cylinders.\r\n\r\nBefore you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.\r\n
\r\n

readiness quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]144879[\/ohm_question]\r\n\r\nIf you missed this problem, review these examples.\r\n
\r\n\r\nEvaluate [latex]{x}^{2}[\/latex] when [latex]x=10[\/latex].\r\n\r\n[reveal-answer q=\"729694\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"729694\"]\r\n\r\nSolution\r\n\r\nWe substitute [latex]10[\/latex] for [latex]x[\/latex], and then simplify the expression.\r\n\r\n\r\n\r\n\r\n\r\n\r\n
[latex]x^2[\/latex]<\/td>\r\n<\/tr>\r\n
Substitute [latex]\\color{red}{10}[\/latex] for x.<\/td>\r\n[latex]{\\color{red}{10}}^{2}[\/latex]<\/td>\r\n<\/tr>\r\n
Use the definition of exponent.<\/td>\r\n[latex]10\\cdot 10[\/latex]<\/td>\r\n<\/tr>\r\n
Multiply.<\/td>\r\n[latex]100[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nWhen [latex]x=10[\/latex], the expression [latex]{x}^{2}[\/latex] has a value of [latex]100[\/latex].\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n
\r\n\r\n[latex]\\text{Evaluate }{2}^{x}\\text{ when }x=5[\/latex].\r\n\r\n[reveal-answer q=\"920379\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"920379\"]\r\n\r\nSolution\r\nIn this expression, the variable is an exponent.\r\n\r\n\r\n\r\n\r\n\r\n\r\n
[latex]2^x[\/latex]<\/td>\r\n<\/tr>\r\n
Substitute [latex]\\color{red}{5}[\/latex] for x.<\/td>\r\n[latex]{2}^{\\color{red}{5}}[\/latex]<\/td>\r\n<\/tr>\r\n
Use the definition of exponent.<\/td>\r\n[latex]2\\cdot2\\cdot2\\cdot2\\cdot2[\/latex]<\/td>\r\n<\/tr>\r\n
Multiply.<\/td>\r\n[latex]32[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nWhen [latex]x=5[\/latex], the expression [latex]{2}^{x}[\/latex] has a value of [latex]32[\/latex].\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n2)\r\n\r\n[ohm_question]146611[\/ohm_question]\r\n\r\nIf you missed this problem, review the videos below.\r\n\r\nhttps:\/\/youtu.be\/sHtsnC2Mgnk\r\n\r\nhttps:\/\/youtu.be\/SIKkWLqt2mQ\r\n\r\n<\/div>\r\nIn this section, we will finish our study of geometry applications. We find the volume and surface area of some three-dimensional figures. Since we will be solving applications, we will once again show our Problem-Solving Strategy for Geometry Applications.\r\n\r\nProblem Solving Strategy for Geometry Applications\r\n
    \r\n \t
  1. Read<\/strong> the problem and make sure you understand all the words and ideas. Draw the figure and label it with the given information.<\/li>\r\n \t
  2. Identify<\/strong> what you are looking for.<\/li>\r\n \t
  3. Name<\/strong> what you are looking for. Choose a variable to represent that quantity.<\/li>\r\n \t
  4. Translate<\/strong> into an equation by writing the appropriate formula or model for the situation. Substitute in the given information.<\/li>\r\n \t
  5. Solve<\/strong> the equation using good algebra techniques.<\/li>\r\n \t
  6. Check<\/strong> the answer in the problem and make sure it makes sense.<\/li>\r\n \t
  7. Answer<\/strong> the question with a complete sentence.<\/li>\r\n<\/ol>","rendered":"

    What you’ll learn to do: Solve problems using the volume and surface area of solid figures<\/h2>\n

    \"\"<\/a><\/p>\n

    Josie is a kindergarten teacher and wants to make felt toys for her students. These felt toys will be cylinders, meant to replicate cans. She wants to put the felt toys in the new play kitchen in her classroom. To find the amount of felt she needs, Josie will need to calculate the surface area of the cans she plans to make. This chapter will explain how to find surface area of different objects, including cylinders.<\/p>\n

    Before you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.<\/p>\n

    \n

    readiness quiz<\/h3>\n

    1)<\/p>\n