Please help me with this problem, I'm not entirely sure on what to do to solve it. Thank you, tutors.
The weight of an object is related to its length by the equation: weight (in pounds) = 3L^3 (in feet). If the object is 6 feet tall, what is its weight?
Given answers:
A 6 pounds
B 54 pounds
C 648 pounds
D 1,296 pounds
I don't know what the L in 3L^3 means. Oh, after thinking I think it means length. You know what? I think I got the answer now. I think the formula to solving this is 6^3? So, it would be 216 pounds, but there is no given answer for that. So, my formula is wrong. Then, could you tutors please help me out with that? At least, I tried answering it. Thank you, tutors, for reviewing the problem and my questions~
Assuming that L = 6 feet --
6^3 = 216
216 * 3 = 648
The equation would be clearer if it were:
weight = 3(L^3)
Thank you, tutor, Ms. Sue, for reviewing my problem, and questions! Also for helping me with my problem.
Of course, I'm here to help you understand how to solve the problem.
You're correct that the L in the equation stands for length. In this case, the length is given as 6 feet. To find the weight of the object, you need to substitute this value into the equation and evaluate it.
Let's plug in the value of 6 for L in the equation: weight = 3L^3.
weight = 3(6)^3
Now, simplify the equation:
weight = 3(216)
weight = 648 pounds
So, the weight of the object is 648 pounds, which matches option C.
It seems like you made a mistake while calculating 6^3. The correct calculation is 6^3 = 216, but you still need to multiply it by 3 to get the weight.
I hope this explanation cleared up any confusion. If you have any further questions, feel free to ask!