Final answer:
The correct nominal dimensions of the brick are a) 4x2 2/3 x 8 in. (102 x 68 x 203mm), as the conversion from inches to millimetres uses the factor of 1 inch = 25.4 mm.
Step-by-step explanation:
The correct nominal dimensions of the brick in inches and millimetres are a) 4x2 2/3 x 8 in. (102 x 68 x 203mm). This is because the conversion factor between inches and millimetres is 1 inch = 25.4 millimetres. When we do the conversion:
- 4 inches = 4 x 25.4 mm = 101.6 mm, approximately 102 mm
- 2 2/3 inches = 2.666 inches x 25.4 mm = 67.7 mm, approximately 68 mm
- 8 inches = 8 x 25.4 mm = 203.2 mm, approximately 203 mm
Therefore, the dimensions are rounded to the nearest whole number as it is common practice in brick dimensions. The other options provided contain conversions to centimetres, meters, and kilometres, which are not correctly scaled for the given dimensions in inches.