1 / 10

Pythagorean Theorem and Rectangular Prisms

Pythagorean Theorem and Rectangular Prisms. Learning Target. I can solve real-world and mathematical problems using the Pythagorean Theorem to find a diagonal or a rectangular prism. Pythagorean Theorem and Rectangular Prisms.

raven-thomas
Download Presentation

Pythagorean Theorem and Rectangular Prisms

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Pythagorean Theorem and Rectangular Prisms

  2. Learning Target • I can solve real-world and mathematical problems using the Pythagorean Theorem to find a diagonal or a rectangular prism.

  3. Pythagorean Theorem and Rectangular Prisms • Just like the Pythagorean Theorem, we can use a formula to easily find the length of a diagonal. • Copy the following equation:

  4. Pythagorean Theorem and Rectangular Prisms • A child’s shoe box measures 4” x 6” x 3”. What is the longest pencil you could fit into this box? If possible, draw a diagram to show the pencil’s position. • L = 4 W = 6 H = 3 • 42 + 62 + 32 • 16 + 36 + 9 • 61 • = 7.8” 61

  5. Pythagorean Theorem and Rectangular Prisms • A fly was sitting on the ground in the back left corner of your classroom. He flew to the ceiling in the opposite corner of the room. How far did he fly if he if the room is 30 feet by 30 feet by 10 feet? • L = 30 W = 30 H = 10 • 302+ 302+ 102 • 900 + 900 + 100 • 1900 • = 43.9 ft 1900

  6. Pythagorean Theorem and Rectangular Prisms • Essentially, when working these problems, we are finding the diagonal from top to bottom of a rectangular prim.

  7. Pythagorean Theorem and Rectangular Prisms • Find the diagonal from top to bottom for a rectangular prism with a length of 7 m, a width of 9 m and a height of 6 m. • 72+ 92+ 62 • 49 + 81 + 36 • 166 • = 12.9 m 166

  8. Pythagorean Theorem and Rectangular Prisms • Find the diagonal from top to bottom for a rectangular prism with a length of 12 in, a width of 9 in and a height of 8 in. • 122+ 92+ 82 • 144 + 81 + 64 • 289 • = 17 in 289

  9. Pythagorean Theorem and Rectangular Prisms • With your team, find the diagonal from top to bottom for the following rectangular prisms • L = 24 cm, W = 10 cm, H = 8 cm • 242+ 102+ 82 • 576 + 100 + 64 • 740 • = 27.2 cm 740

  10. Pythagorean Theorem and Rectangular Prisms • With your team, find the diagonal from top to bottom for the following rectangular prisms • L = 10 in, W = 10 in, H = 10 in • 102+ 102+ 102 • 100 + 100 + 100 • 300 • = 17.3 in 300

More Related