To find the option that satisfies the volume of the triangle, we can solve each option.
Formula for the volume a triangular prism: V = 1/3bh
Option A:
B = 50 centimeters squared; h = 10 centimeters
V = 1/3(50)(10)
V = 1/3(500)
V = 166.666... or 166 2/3 yards.
Therefore, this option is incorrect.
Option B:
B = 50 centimeters squared; h = 30 centimeters
V = 1/3(50)(30)
V = 1/3(1500)
V = 500 yards.
Therefore, this option is incorrect.
Option C:
B = 100 centimeters squared; h = 10 centimeters
V = 1/3(100)(10)
V = 1/3(1000)
V = 333.333... or 333 1/3 yards.
Therefore, this option is correct.
Option D:
B = 100 centimeters squared; h = 30 centimeters
V = 1/3(100)(30)
V = 1/3(3000)
V = 1000 yards.
Therefore, this option is incorrect.
Hence, the correct answer is [ B = 100 centimeters squared; h = 10 centimeters ]
Best of Luck!
