Question

the tower below is made up of a square pyramid on top of a rectangular prism. what is the total surface area of the tower? 6 centimeters 16 centimeters 7 centimeters 539 square centimeters 665 square centimeters 532 square centimeters 581 square centimeters

Explanation:

Step1: Identify prism dimensions

Prism: length=7cm, width=7cm, height=16cm

Step2: Calculate prism surface area (exclude top)

Prism surface area = 2*(lw + lh + wh) - lw = lw + 2lh + 2wh
= 77 + 2716 + 27*16
= 49 + 224 + 224 = 497 cm²

Step3: Calculate pyramid lateral area

Pyramid base=7cm, slant height=6cm
Lateral area = 4(1/2base*slant height)
= 4(1/276) = 421 = 84 cm²

Step4: Total surface area

Total = 497 + 84 = 581 cm²

Answer:

D. 581 square centimeters