10. A wooden beam is 5 feet (ft), 4 inches (in) long. Given 1 ft = 12 in, what is the length of the beam in inches?
Answer: B
The length of the beam in inches is 64 inches.
To convert the length of the beam from feet and inches to just inches, we first convert the feet to inches by multiplying by 12. Thus, 5 feet is 5 x 12 = 60 inches. Adding the additional 4 inches gives us a total length of 60 inches + 4 inches = 64 inches.
A) 108 inches
This option is incorrect because it suggests that the total length of the beam is much larger than it actually is. The conversion from feet to inches was not done correctly here, as adding 5 feet and 4 inches does not yield 108 inches.
B) 64 inches
This option is correct because it accurately represents the total length of the beam when converting 5 feet and 4 inches into inches. The calculation of 5 feet x 12 inches/foot + 4 inches results in 64 inches.
C) 9 inches
This option is incorrect as it significantly underestimates the length of the beam. The conversion process clearly shows that the beam is much longer than 9 inches, making this option inaccurate.
D) 60 inches
This option is also incorrect because it only accounts for the 5 feet portion of the beam and neglects the additional 4 inches. Therefore, it does not reflect the actual total length of the beam, which is 64 inches.
Conclusion
The correct answer of 64 inches is derived from accurately converting the entire length of the beam from feet and inches into just inches. All other options either overestimate or underestimate the actual length, demonstrating a misunderstanding of the conversion process. Thus, option B is the definitive answer based on the calculations provided.