Tierra is making steps for a doll house. She has cut a piece of wood that measures 1. 5 centimeters wide and 30 centimeters long. Each step will measure 15 millimeters by 4 millimeters. She will make 21 steps for her doll house. Which are the dimensions of the wood that remains after Tierra finishes making the 21 steps?

Question

Tierra is making steps for a doll house. She has cut a piece of wood that measures 1. 5 centimeters wide and 30 centimeters long. Each step will measure 15 millimeters by 4 millimeters. She will make 21 steps for her doll house. Which are the dimensions of the wood that remains after Tierra finishes making the 21 steps?​

GPT 3.5 · Answer

To find the total width of the steps, we multiply the width of each step (15 mm) by the number of steps (21): 15 mm * 21 = 315 mm

To find the total length of the steps, we multiply the length of each step (4 mm) by the number of steps (21): 4 mm * 21 = 84 mm

Next, we convert the total width and length of the steps from millimeters to centimeters for easier comparison.

Total width of steps: 315 mm = 31.5 cm
Total length of steps: 84 mm = 8.4 cm

To find the dimensions of the remaining wood, we subtract the total width and length of the steps from the original dimensions of the wood:

Remaining width = 1.5 cm - 31.5 cm = -30 cm
Remaining length = 30 cm - 8.4 cm = 21.6 cm

Therefore, the dimensions of the wood that remains after Tierra finishes making the 21 steps are 30 cm in width (note: the negative sign indicates that the remaining width is zero) and 21.6 cm in length.