Answer:

Step-by-step explanation:
![\frac{1}{\sqrt[5]{7}}=\frac{1}{7^{1/5}}=7^{-1/5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%5B5%5D%7B7%7D%7D%3D%5Cfrac%7B1%7D%7B7%5E%7B1%2F5%7D%7D%3D7%5E%7B-1%2F5%7D)
Answer:
T.A = 54 + 9/2 √3
Step-by-step explanation:
∵ The figure is triangular prism
∴ T.A = perimeter of the base × height + 2 × area of the base
∵ The base is an equilateral Δ with side length 3"
∴ The perimeter of the base = 3 × 3 = 9 inches
∴ The area of the base = 1/4 S² √3 = 1/4 (3)²√3 = 9/4 √3 inches²
∵ The length of the height of the prism = 6"
∴ T.A = 9 × 6 + 2 × 9/4 √3 = 54 + 9/2 √3
∴ T.A = 54 + 9/2 √3 inches²
for all of them calcuate whats in the prenteces first then use those numbers to solve the rest of the problem