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PSSA Prep Volume

Middle School

Created on July 31, 2023

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Transcript

VOLUME

CC.2.3.#.A.1

We will:

  • 6: Apply appropriate tools to solve real-world and mathematical problems involving area, surface area, and volume
  • 7: Solve real-world and mathematical problems involving angle measure, area, surface area, circumference and volume
  • 8: Apply the concepts of volume of cylinders, cones and spheres to solve real-world and mathematical problems

PLEASE NOTE:

Formula sheets are given on the PSSA exam.

Focus on:
Instead of focusing on:
  • learning every formula
  • each individual shape
  • understanding the labels of the figures
  • knowing where to substitue into the formulas
  • how to solve formulas once substituted

Volume

Volume: the amount of space occupied by a three-dimensional object

"Volume." YouTube, uploaded by Math Antics, www.youtube.com/watch?v=qJwecTgce6c.

Terms of Pi

You can also leave the answer in terms of pi.

You can use 3.14 or calculator pi.

This is done when we want to make sure our answer is as accurate as possible. Instead of using a number for pi, we just use the symbol.

C = 2πr C = 2π(8) C = 16π C = 16 x 3.14 C = 50.3 mi

VS

C = 2πr C = 2π(8) C = 16π

Volume

"Volume of Cylinders, Cones and Spheres." Kuta Software, esever.weebly.com/uploads/5/7/2/8/57283167/volume_of_cylinders_cones_and_spheres.pdf. Accessed 28 Jul. 2023.

Click for Formula Sheet

Volume

"Volume of Cylinders, Cones and Spheres." Kuta Software, esever.weebly.com/uploads/5/7/2/8/57283167/volume_of_cylinders_cones_and_spheres.pdf. Accessed 28 Jul. 2023.

Click for Formula Sheet