FILLING & WRAPPING 2.1 Learning Target: I will determine surface area and volume of prisms. HW: Complete the FW Investigation 2 Pg. 3 Cold Cans and Correct with the Zaption video: FW 2.1 Warm Up: A box measures 3 cm by 4 cm by 5 cm. What is the surface area of the box? What is the volume of the box? What would be the dimensions of other boxes with the same volume? Come up with as many as you can!

A box measures 3 cm by 4 cm by 5 cm. What is the surface area of the box? What is the volume of the box? What would be the dimensions of otherboxes with the same volume? Come up with as many as you can! 2(3x4 + 3x5 + 4x5) = 2( ) = 2(47) = 94 square cm 3 x 4 x 5 = 60 cubic cm 1 x 1 x 60 = 60 cubic cm 2 x 3 x 10 = 60 cubic cm 1 x 2 x 30 = 60 cubic cm 2 x 2 x 15 = 60 cubic cm 1 x 3 x 20 = 60 cubic cm 2 x 5 x 6 = 60 cubic cm 1 x 4 x 15 = 60 cubic cm 1 x 5 x 12 = 60 cubic cm Did you find any others? 1 x 6 x 10 = 60 cubic cm

Note right prism and regular prism on Toolkit

To find surface area: Find the area of the sides. Find the area of the top and bottom. Add the areas of the sides, top and bottom together. To find volume: Fill the prisms with manipulatives. Compare how much each prism holds.

A.

B. How do the lateral surface areas of the five prisms compare as the number of faces in the prisms increases? Explain. C. How do the total surface areas of the five prisms compare as the number of faces in the prisms increases? Explain. D. How do the volumes of the five prisms compare as the number of faces in the prisms increases? Explain. The surface area of each lateral face decreases as the number of faces increases while the total surface area of the lateral sides stay the same. The volume increases as the number of faces increases. The total surface area of the lateral sides stay the same, while the total surface area of the prisms increases with the number of sides.

E. How could you use another identical sheet of paper to make a figure whose volume is greater than the volume of any of the polygonal prisms in question A? What might it look like? a. How would the surface area of that figure compare to the surface areas of the polygonal prisms in Question A? The surface area would be greater. A prism with a greater number of faces (the maximum volume is a cylinder).

FILLING & WRAPPING 2.1 Did I reach my Learning Target? I will determine surface area and volume of prisms. HW: Complete the FW Investigation 2 Pg. 3 Cold Cans and Correct with the Zaption video: FW 2.1