An architect make a model of a building with a volume of 1440 cubic centimeters? The length of the model is 15 centimeters and the width is 12 centimeters. How many centimeters tall is the model
Volume = lwh , we know the volume, the length and the width
1440 = (15)(12)h
h = 1440/180
= 8 cm.
To find the height of the model, we can use the formula for the volume of a rectangular prism, which is length * width * height.
Given that the volume of the model is 1440 cubic centimeters, the length is 15 centimeters, and the width is 12 centimeters, we can substitute these values into the formula:
15 * 12 * height = 1440
To solve for the height, divide both sides of the equation by (15 * 12):
height = 1440 / (15 * 12)
Calculating this gives:
height = 1440 / 180
Simplifying further:
height = 8 centimeters
Therefore, the height of the model is 8 centimeters.