A rectangular prism has a volume of 8 cubic yards. Assume the dimensions are whole numbers. What dimensions yield a prism with the greatest surface area? the least surface area? (1 point)
A rectangular prism with the greatest surface area will have dimensions that are as close to each other as possible. In this case, the closest pair of whole numbers whose product is 8 is 2 and 4. So a rectangular prism with dimensions of 2 yards, 2 yards, and 2 yards will have the greatest surface area.
A rectangular prism with the least surface area will have dimensions that are as far apart from each other as possible. In this case, the pair of whole numbers whose product is 8 and are the farthest apart is 1 and 8. So a rectangular prism with dimensions of 1 yard, 1 yard, and 8 yards will have the least surface area.
what is the answer
The rectangular prism with the greatest surface area has dimensions of 2 yards, 2 yards, and 2 yards.
The rectangular prism with the least surface area has dimensions of 1 yard, 1 yard, and 8 yards.