What is the surface area of this wedge.

The surface area of the wedge is 84 ft².

Solution:

Base of the triangle = 4 ft

Height of the triangle = 3 ft

Area of the triangle =

Area of the triangle = 6 ft²                      

Area of 2 triangles = 2 × 6 ft²  = 12 ft²  

Length of the top rectangle = 6 ft

Width of the top rectangle = 3 ft

Area of the rectangle = length × width

Area of the top rectangle = 6 × 3 = 18 ft²

Length of the middle rectangle = 6 ft

Width of the middle rectangle = 4 ft

Area of the middle rectangle = 6 × 4 = 24 ft²

Length of the bottom rectangle = 6 ft

Width of the bottom rectangle = 5 ft

Area of the bottom rectangle = 6 × 5 = 30 ft²

Surface area of the wedge = Area of 2 triangles + Area of the top rectangle + Area of the middle rectangle + Area of the bottom rectangle

                                              = 12 ft² + 18 ft² + 24 ft² + 30 ft²

                                              = 84 ft²

Hence the surface area of the wedge is 84 ft².

2/5

step-by-step explanation: