The volume of this right prism is 240.5 ft³. What is the height, x, of the prism? Enter your answer as a decimal in the box.
![The volume of this right prism is 2405 ft What is the height x of the prism Enter your answer as a decimal in the box class=](https://us-static.z-dn.net/files/d93/af39f9a456bcb35bed016424d5b9f922.png)
Answer:
7.4 is the correct answer
Step-by-step explanation:
Height 'x' of the given right prism is 7.4 feet.
What information do we have?
Height of base = 5 ft
Length of first parallel line = 5 ft
Length of Second parallel line = 8 ft
Volume of prism = 240.5 ft³
Volume of prism = Area of base × height
Volume of prism = (1/2)(sum of parallel line)(Height) × height
240.5 = (1/2)(5+8)(5) × height
240.5 = (1/2)(13)(5) × height
240.5 = 32.5 × height
Height of prism = 7.4 feet
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