Answer:
288 cm²
Step-by-step explanation:
The square base has an area of 64 cm².
That means the sides of the square base measure 8 cm.
The perimeter of the base is P = 4 * 8 cm = 32 cm.
The lateral area is Ph = 32 cm * 5 cm = 160 cm².
The two bases are congruent, and their combined area is 2 * 64 cm² = 128 cm².
The total surface area equals the sum of the lateral area and the area of the bases.
SA = 160 cm² + 128 cm²
SA = 288 cm²
