You need to find the3 area of these different faces and add them all up. A) The bottom face of the prism B) The four sides of the prism C) The four sides of the pyramid
A) The bottom face of the prism is a square, 4 cm by 4 cm A = LW = 4 cm * 4 cm = 16 cm^2
B) The four sides of the prism are congruent rectangles. You need to find the area of one of them, and multiply it by 4. A = LW = 4 cm * 3 cm = 12 cm^2 For the 4 faces: A = 4 * 12 cm^2 = 48 cm^2
C) The four sides of the pyramid are four congruent triangles. You need to find the area of one triangle and multiply it by 4. A = bh/2 = 4 cm * 3 cm / 2 = 6 cm^2 For the 4 faces: A = 4 * 6 cm^2 = 24 cm^2
Now we add the area of the base, the areas of the four sides of the prism and the areas of the four sides of the pyramid to find the total surface area:
