Answer:
62m³
Step-by-step explanation:
The question is incomplete. Find the diagram of the prism attached below.
Volume of a Prism = Base area × Height
Given height = 9m
Since the prism is a triangular based prism,
Base area = area of the equilateral triangle = 1/2bh
base of the triangle = 4m
Height can be gotten using Pythagoras theorem.
Slant side of the triangle is the hypotenuse = 4m
Adjacent = 1/2 of the base = 1/2(4)= 2m
Height = √4²-2²
Height = √16-4
Height of the triangle= √12 m
Base Area = 1/2×4×√12
Base Area = 2√12 m
Volume of the prism = 2√12 × 9
= 2×2√3×9
= 36√3 m³
= 62.2m³
Volume of the prism is approximately 62m³
Answer:
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:
Then, you can substitute values:
The next step is to solve for DE in order to find its value. This is:
Finally, rounding the result to the nearest tenth, you get that this is: