1 / 12

Bell Work: Find the surface area and volume of the rectangular prism.

Bell Work: Find the surface area and volume of the rectangular prism. SA= 2lw + 2lh + 2wh SA=2(20)(9) + 2(20)(8) + 2(9)(8) SA = 360 + 320 + 144 SA= 824 cm². V = lwh V = (20)(9)(8) V = 1440 cm³. Volume with the formula. Volume.

boaz
Download Presentation

Bell Work: Find the surface area and volume of the rectangular prism.

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. Bell Work: Find the surface area and volume of the rectangular prism. SA= 2lw + 2lh + 2wh SA=2(20)(9) + 2(20)(8) + 2(9)(8) SA = 360 + 320 + 144 SA= 824 cm² V = lwh V = (20)(9)(8) V = 1440 cm³

  2. Volume with the formula

  3. Volume The volume of a solid is the amount of space inside the solid. Volume is measured in cubic units.

  4. 4cm 3cm 10cm When we calculated the volumes we counted the cubes inside: Formulas We found the number of cubes that made up the base. Shortcut: We found the area. A = length x width We then calculated how many layers made up the volume. The number of layers is the HEIGHT of the solid. This gives us a formula for calculating other volumes: Volume= Area of Base x Height V = Bh

  5. 3units 3units 3units One way to find the volume of this prism is to use the formula V = lwh where V is volume, l is length, w is width, and h is height h w l V = lwh V = (3)(3)(3) V = 27 cubic units This formula works very well for rectangular prisms

  6. 3units 3units 3units Another way to find the volume of this prism is to use the formula V = Bh where V is volume, B is the area of the base, and his the height. h w l V = Bh V = (9)(3) V = 27 cubic units Area of the Base: B = lw B = (3)(3) B = 9 square units This formula works very well for non-rectangular prisms

  7. Formulas Volume of Rectangular Solids = lwh l = length w = width h = height Volume of NON-rectangular solids = Bh B = Area of the base h = height

  8. You try: Find the volume of the triangular prism. SA= 2B + Ph B = (1/2)(9)(4) = 18 P = 4.5 + 9 + 7.2 = 20.7 SA= 2(18) + 20.7(8.1) SA = 36 + 167.67 SA= 203.67 cm² V = Bh B = (1/2)(9)(4) = 18 V = (18)(8.1) V = 145.8 cm³

  9. ExampleFind the volume of each solid. V = Bh Area of base = 43 mm² V = (43)(15) V = 645 mm³ V = Bh Area of base = (1/2)(4.8)(7.2) V = (17.28)(10) V = 172.8 m³

  10. Example Each locker is shaped like a rectangular prism. Which has more storage space? Explain. School Locker V = lwh V = (12)(10)(60) V = 7200 in³ Gym Locker V = lwh V = (12)(15)(48) V = 8640 in³ The Gym Locker has more storage space because the volume of the gym locker is greater than the school locker.

  11. Example A movie theater designs two bags to hold 96 cubic inches of popcorn. Find the height of each bag. Bag A V = Bh B = (3)(4) = 12 96 = 12h h = 8 Height is 8 inches Bag B V = Bh B = (4)(4) = 16 96 = 16h h = 6 Height is 6 inches

  12. Practice:Volume Using the Formulas Worksheet

More Related