Find the surface area of the figure
5ft 7ft 6ft
To find the surface area of the figure, we need to calculate the area of each side of the figure and then add them all together.
The figure consists of a rectangular prism with dimensions 5ft, 7ft, and 6ft.
The surface area of a rectangular prism can be found by adding the areas of the six faces.
The area of a rectangle is given by the formula: length × width.
The area of the top and bottom faces (5ft × 6ft) is 30ft² each.
The area of the two side faces (7ft × 6ft) is 42ft² each.
The area of the front and back faces (5ft × 7ft) is 35ft² each.
Therefore, the surface area of the figure is 30ft² + 30ft² + 42ft² + 42ft² + 35ft² + 35ft².
Simplifying, we get 144ft² + 77ft² + 70ft².
Adding these together, we find that the surface area of the figure is 291ft².