A cuboid is 4 cm long, 7 cm wide and 10 cm high.A similar cuboid is 25 cm high. Calculate it's lenght and width

Length = 10 cm

Width = 14 cm

Did you know?

Did you know that the lengths and widths of similar figures are proportional to each other? By using this fact, we can determine the dimensions of the similar cuboid. If the original cuboid is 4 cm long, 7 cm wide, and 10 cm high, and the similar cuboid is 25 cm high, we can set up a proportion: (length of original cuboid) / (height of original cuboid) = (length of similar cuboid) / (height of similar cuboid). Substituting the given values, we have 4 cm / 10 cm = (length of similar cuboid) / 25 cm. Cross-multiplying, we find that the length of the similar cuboid is 10 cm. Similarly, we can set up a proportion for the width: (width of original cuboid) / (height of original cuboid) = (width of similar cuboid) / (height of similar cuboid). Substituting the values, we have 7 cm / 10 cm = (width of similar cuboid) / 25 cm. Solving for the width, we find that the width of the similar cuboid is 17.5 cm.