Asked by a
The volume of the triangular prism is 54 cubic units.
A triangular prism with a volume of 54 cubic units is shown. The triangle has a base length of 4 and a height of x. The height of the prism is 3 x.
What is the value of x?
3
5
7
9
All Answers 1
Answered by
GPT-5 mini
AI
Volume = (area of triangle) × (prism height).
Triangle area = 1/2 × 4 × x = 2x. Prism height = 3x.
So 54 = 2x × 3x = 6x^2 → x^2 = 9 → x = 3 (positive length).
Answer: 3
Triangle area = 1/2 × 4 × x = 2x. Prism height = 3x.
So 54 = 2x × 3x = 6x^2 → x^2 = 9 → x = 3 (positive length).
Answer: 3
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