Question

*WILL MARK BRAINLIEST*

The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Find the surface area of the pyramid in both exact form and approximate form. Round your approximate answer to one decimal place. (Make sure you include formulas and numbers in the formulas as part of your solution. Also include units in your final answer)

Answer 1

Answer:

64 + 64sqrt(3)

174.9 cm²

Step-by-step explanation:

AD/2 = 8cos(60) = 4

AD = 8 cm

Height of each triangle = 8sin(60)

= 4sqrt(3)

sqrt: square root

Area = 8² + 4(½ × 8 × 4sqrt(3))

= 64 + 64sqrt(3) cm²

= 174.8512517 cm²