Question

Rolled oats come out in cylindrical containers with a diameter of 5 inches and a height of 9 1/2 inches. these containers are shipped to grocery stores in boxes. each shipping box contains six rolled oats containers. The shipping company is trying to figure out the dimensions of the box for shipping the rolled oats containers so that ill use the least amount of cardboard. They are only considering boxes that are rectangular prisms so they are easy to stack.

a. What is the surface area of the box needed to ship these containers to the grocery store that uses the least amount of cardboard?

b. What is the volume of the box?

Answer 1

a. The surface area of the box needed to ship the containers with the least amount of cardboard is about 340.26 square inches.

b. The volume of the box needed to ship the containers is about 923.08 cubic inches.

(Hope this helps)

Explanation:
a. To find the surface area of the box, we need to add up the areas of all the sides of the box. Think of wrapping the box in wrapping paper. The area of the paper that covers the box is the surface area.

b. To find the volume of the box, we need to measure how much space is inside the box. Think of the box as a swimming pool. The amount of water that can fit inside the pool is its volume.