A cube has side length 5 in. A rectangular prism has dimensions 6 in. by 6 in. by 3 in. Which object has greater volume? Which object has great surface area?

To answer these questions, we first need to calculate the volume and surface area of both the cube and the rectangular prism.

1. Volume of the cube: The formula for the volume of a cube is side^3. So, the volume of the cube is 5^3 = 125 cubic inches.

2. Volume of the rectangular prism: The formula for the volume of a rectangular prism is lengthwidthheight. So, the volume of the rectangular prism is 663 = 108 cubic inches.

Therefore, the cube has a greater volume than the rectangular prism.

Next, let's calculate the surface area:

1. Surface area of the cube: The formula for the surface area of a cube is 6side^2. So, the surface area of the cube is 65^2 = 150 square inches.

2. Surface area of the rectangular prism: The formula for the surface area of a rectangular prism is 2*(lengthwidth + widthheight + heightlength). So, the surface area of the rectangular prism is 2(66 + 63 + 3*6) = 216 square inches.

Therefore, the rectangular prism has a greater surface area than the cube.