Final answer:
A 2 x 4 piece of lumber has actual dimensions of approximately 3.81cm in thickness and 8.89cm in width after being converted from inches to centimeters. The nominal dimensions are a naming convention rather than actual measurements. The spacing between vertical studs converts to 40.64 cm. All options are incorrect.
Step-by-step explanation:
In addressing the question regarding the dimensions of a piece of lumber labeled as 2 x 4, it is important to understand that these nominal dimensions are not the actual dimensions. In reality, the lumber is slightly smaller due to the drying and planing processes. To find the dimensions in centimeters, we need to convert the actual dimensions from inches to centimeters, taking into account that 1 inch is equivalent to 2.54 centimeters.
For a 2 x 4 piece of lumber, the actual dimensions are commonly 1.5 inches in thickness and 3.5 inches in width. Therefore, the dimensions in centimeters are:
- Thickness: 1.5 inches × 2.54 cm/inch = 3.81 cm
- Width: 3.5 inches × 2.54 cm/inch = 8.89 cm
Additionally, when considering the placement of vertical studs, they are typically spaced 16.0 inches apart. Converting this measurement to centimeters:
- 16.0 inches × 2.54 cm/inch = 40.64 cm
Thus, the correct option for the dimensions of a 2 x 4 piece of lumber in centimeters is 3.81cm× 8.89cm (approximately), which is not listed in the provided options. Moreover, the distance between studs when converted to centimeters is 40.64 cm.