Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Question

3 years ago

12

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
T.A. =

Mathematics

1 answer:

Misha Larkins [42] · Answer 1 · 2021-12-17T15:00:16+03:00

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