AND GIVE 20 POINTS\

Ice Design
UNIT NAME: MEASUREMENT
Directions: Modern Design magazine is having a contest to design the best ice cube in one of three shapes—a cube, a sphere, or a cylinder. Use the following guidelines to make your choice and complete your contest entry.
1. Find and simplify the volume-to-surface-area ratio for each of the three possible ice cube shapes. You can use this chart.
Shape Surface Area Formula Volume Formula
cube S. A. 6s2 V s 3
sphere S. A. 4r2 V  r3
cylinder S. A. 2 r2 2 rh V r h2

2. Use the ratios to choose the best shape for an ice cube—a cube, sphere, or cylinder. Also, choose what you think is the best size for that shaped ice cube.
3. Consider these questions as you make your decision:
a. Since the purpose of an ice cube is to keep a drink cold, is it better for an ice cube to have a high volume or a low volume?
b. Since heat touching the surface of an ice cube causes it to melt, is it better for an ice cube to have a large surface area or a small surface area?
c. Which volume-to-surface-area ratio would be better for an ice cube— the lowest possible or the highest possible?
d. How does increasing the size of an object affect its volume-to-surface area ratio?
4. Create a visual model to show your ice cube design, including the dimensions you would choose and the volume and surface area of that cube.
Your visual model and the explanation of your choice of ice cube shape and size will be submitted as your portfolio assessment.