To find the volume of a composite figure with a square and a cylinder, you need to calculate the volumes of each individual shape and then add them together.
First, calculate the volume of the square. Since all its measurements are 8 ft, its side length is also 8 ft. The volume of a square can be found by multiplying the side length by itself. So, the volume of the square is 8 ft * 8 ft * 8 ft = 512 ft³.
Next, calculate the volume of the cylinder. A cylinder has two parts: the base, which is a circle, and the height. Since all measurements of the cylinder are 8 ft, both the radius and the height of the cylinder are 8 ft. The formula for the volume of a cylinder is π * r² * h, where π is a constant value of approximately 3.14159, r is the radius of the base, and h is the height. Substituting the values into the formula, we get 3.14159 * 8 ft * 8 ft * 8 ft = 1606.368 ft³.
Finally, add the volumes of the square and cylinder together: 512 ft³ + 1606.368 ft³ = 2118.368 ft³.
Rounded to the nearest tenth, the volume of the composite figure is 2118.4 ft³.