Answer:
Explanation:
When two plane figures are similar in size, it means that there is a constant ratio between the size of the corresponding sides.
A rectangular box has a length of 3 inches, a width of 2 inches, and a height of 4 inches.
1) if a similar box has a length of 6 inches, it means that the ratio of its length to that of the original rectangle would be
6/3 = 2
The width of the new rectangle would be 2 × 2 = 4 inches.
The height of the new rectangle would be 4 × 2 = 8 inches.
2) if a similar box has a width of 6 inches, it means that the ratio of its width to that of the original rectangle would be
6/2 = 3
The length of the new rectangle would be 3 × 3 = 9 inches.
The height of the new rectangle would be 4 × 3 = 12 inches.
3) if a similar box has a height of 6 inches, it means that the ratio of its height to that of the original rectangle would be
6/4 = 1.5
The length of the new rectangle would be 3 × 1.5 = 4.5 inches.
The width of the new rectangle would be 2 × 1.5 = 3 inches.