Volume Performance Task Rectangular Prisms

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Presentation transcript:

Volume Performance Task Rectangular Prisms

Cereal Boxes! Requirements for the new boxes: A cereal company uses cereal boxes that are rectangular prisms The boxes have the dimensions shown. 12 inches high 8 inches wide 2 inches deep Requirements for the new boxes: The new boxes have to use less cardboard than the original boxes. The new boxes have to hold the same or a greater volume of cereal as the original boxes.

Your Task part 1: V= length x width x height Determine the volume of the current cereal box with the dimensions 12 in high, 8in wide, and 2in deep. Find the volume, V, in cubic inches, of each box. V= length x width x height

Task Part 2

3. Find the Surface Area S.A = 2(length) (Width) + 2 (Length)(height) +2(width)(Height)

Part 4 The company proposes a new cereal box with dimensions 10.5in high, 7.5in wide, and 4 in deep. The new cereal box is a rectangular prism. Determine if this new box meets each of the requirements. Explain why or why not.

Part 5 Design a new cereal box for this company. All cereal boxes are rectangular prisms. Then explain why your design is better for the company, based on the requirements. In your response,  give the dimensions of your box  Explain how your box meets each of the requirements for new boxes.