74. What three-digit number is represented by three flats, twelve rods, and sixteen cubes from a set of base-ten blocks?
Answer: B
The three-digit number represented is 436.
To determine the three-digit number represented by the base-ten blocks, we calculate the contributions of each type of block. Three flats represent 300, twelve rods represent 120, and sixteen cubes represent 16, totaling 436.
A) 328
Option A is incorrect because it fails to account for the full value of the blocks. While three flats would contribute 300, twelve rods contribute 120, and sixteen cubes contribute 16, which sums to 436, not 328.
B) 436
This option is correct as it accurately reflects the calculation based on the base-ten blocks. Three flats equal 300, twelve rods equal 120, and sixteen cubes equal 16, which together total 436.
C) 516
Option C is incorrect because it overestimates the total value of the blocks. The correct sum of three flats, twelve rods, and sixteen cubes is 436, not 516.
D) 580
Option D is incorrect, as it also misrepresents the total value. Adding the values of the blocks gives 436, making 580 an inaccurate representation of the three-digit number.
Conclusion
The correct answer is definitively 436, as it accurately sums the values of three flats, twelve rods, and sixteen cubes. All other options fail to represent the correct total based on the values of the base-ten blocks provided.