Find the approximate volume of this prism.
1 answer:
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
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Since we are given a quadratic function, we can calculate the roots (zeroes) using the quadratic formula. We must take into consideration that we are talking about time, it means that we should only consider positive values.
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Then, substituting it into the quadratic equation, we have:
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