Answer:
9 inches
Explanation:
To find the height of the model of the Great Pyramid of Giza, we can use the formula for the volume of a pyramid:
Volume = (1/3) * base_area * height
Given that the base of the model is a square with sides measuring 15 inches, the base area is calculated by multiplying the length of one side by itself:
Base_area = 15 inches * 15 inches = 225 square inches
We are also given that the volume of the model is 675 cubic inches. Plugging in the values into the volume formula:
675 cubic inches = (1/3) * 225 square inches * height
To find the height, we can isolate it in the equation:
height = (675 cubic inches) / [(1/3) * 225 square inches]
height = (675 cubic inches) / (75 square inches)
height = 9 inches
Therefore, the height of the model of the Great Pyramid of Giza is 9 inches.