Question

The volume of a rectangular prism is 294 cm³. david measures the sides to be 7.13 cm by 7.18 cm by 6.1 cm. n calculating the volume, what is the relative error, to the nearest thousandth?

a) 0.237
b) 0.232
c) 0.123
d) 0.321

Answer 1

To calculate the relative error, we first find the calculated volume by multiplying the given dimensions. Then we find the absolute difference between the measured volume and the calculated volume, divide it by the measured volume, and multiply by 100. The correct relative error is approximately 0.048. The correct answer is option a) 0.237

Step-by-step explanation:

To calculate the volume, we multiply the length, width, and height of the rectangular prism. So, the volume is 7.13 cm x 7.18 cm x 6.1 cm = 308.11354 cm³.

The relative error is calculated by taking the absolute difference between the measured volume (294 cm³) and the calculated volume (308.11354 cm³), dividing it by the measured volume, and multiplying by 100.

In this case, the relative error is |294 - 308.11354| / 294 = 0.048223, which when rounded to the nearest thousandth, is approximately 0.048. Therefore, the correct option is a) 0.048.