Why is it important to know the surface area and volume of three-dimensional shapes?
It depends on the situation. If you build swimming pools, you need to know how much water can fit in it to market it properly. If you own a farm with a grain silo, you need to know how much grain the silo can hold. If you’re blacktopping a driveway, you have to be able to figure out the area of the surface to charge them properly. You’ll need this to know how much tar is required depending on how thin or think the coating needs to be (volume). If you’re gold-plating wire, you need to know how much gold is required so you’re not wasting money. I know you’re not likely going to do all of these, and some are pretty out there, but these are real examples of how volume and area are used.