Answer:
- Laterial surface area: 73 cm²
- Total surface area: 93 cm²
Step-by-step explanation:
The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.
The laterial surface area LSA is:
LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)
LSA = 4 • 8 + 5 • 8.2
LSA = 73 cm²
The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:
SA = LSA + 4 • 5
SA = 73 cm + 20 cm²
SA = 93 cm²
