The edges of a shoebox are measured to be 11.9 cm, 17.3 cm, and 29 cm. Determine the volume of the box retaining the proper number of significant figures in your answer.
multiply them than use only two significant figures.
To determine the volume of the shoebox, you need to multiply the three measurements together. The formula for volume is V = length × width × height.
Given:
Length (L) = 11.9 cm
Width (W) = 17.3 cm
Height (H) = 29 cm
Now, substitute these values into the formula:
V = L × W × H
V = 11.9 cm × 17.3 cm × 29 cm
To retain the proper number of significant figures in your answer, you need to look at the original values and identify the measurement with the fewest significant figures. In this case, the length measurement has the fewest significant figures because it is only specified to one decimal place.
Therefore, you should round the final answer to one decimal place.
V = (11.9 cm) × (17.3 cm) × (29 cm)
V ≈ 5978.7 cm³
After rounding to one decimal place, the volume of the shoebox is approximately 5978.7 cm³.