Final answer:
The unknown length of the rectangular solid is 0.5 cm, calculated by dividing the given total volume of 13 cm³ by the product of the width (2 cm) and the height (13 cm).
Step-by-step explanation:
The question involves finding the unknown length of a rectangular solid (or box), given the volume, the height, and the width. To find the length, you can use the formula for the volume of the rectangle, which is Volume = length x width x height. Here the volume is specified as a 'cube' which means cubic units, but since we're dealing with linear dimensions, it may just be a typographical error. Assuming the volume is given in cubic centimeters (cm³), we can solve for the length by rearranging the formula to length = Volume / (width x height). Given a total volume of 13 cm in height, a width of 2 cm, and a total volume of 13 cm³, the formula to find the unknown length would be:
length = Volume / (width x height)
length = 13 cm³ / (2 cm x 13 cm)
length = 13 cm³ / 26 cm²
length = 0.5 cm
Therefore, the unknown length of the regular solid is 0.5 cm.