Answer :
Final answer:
The volume of the larger prism can be found by multiplying the volume of the smaller prism by the cube of the ratio of their corresponding side lengths. The rounded volume of the larger prism is 86.38 in³ (option B).
Explanation:
To find the volume of the larger prism, we need to find the ratio of the volumes of the two similar prisms. Since the prisms are similar, their corresponding sides are proportional. Let's say the ratio of the lengths of corresponding sides in the two prisms is r.
Let's assume the volume of the smaller prism is V. The volume of the larger prism can be found by multiplying the volume of the smaller prism by the cube of the ratio r.
So, the volume of the larger prism is V * r^3.
Now, let's round the answer to the nearest hundredth as required. The options given are A. 85.33 in³, B. 86.38 in³, C. 87.07 in³, and D. 88.16 in³. We need to calculate the volume of the larger prism and round it to the nearest hundredth to see which option matches.
Learn more about volume of similar triangular prisms here:
https://brainly.com/question/1537868
#SPJ14
Answer:
Volume of smaller triangular prism:
(1/2)(4)(3)(6) = 36 in.³
Volume of larger triangular prism:
(1/2)(4/3)³(4)(3)(6) = 85 1/3 in.³ = 85.33 in.³
The correct answer is A.
