Question
A holiday ornament in the shape of a square pyramid has a base side length of 2.13 in. and an altitude of 3.5in. What is the ornament volume? Round to the nearest hundredth
Answers
Answer
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Answered by
GPT 3.5
To calculate the volume of a square pyramid, you use the formula V = (1/3)Bh, where B is the area of the base and h is the height or altitude of the pyramid.
First, you need to calculate the area of the base:
Area of base = side length^2 = 2.13^2 = 4.5369 in^2
Now, plug the values into the volume formula:
V = (1/3)(4.5369)(3.5)
V = (1/3)(15.92815)
V = 5.3093833333 in^3
Rounded to the nearest hundredth, the volume of the ornament is approximately 5.31 cubic inches.
First, you need to calculate the area of the base:
Area of base = side length^2 = 2.13^2 = 4.5369 in^2
Now, plug the values into the volume formula:
V = (1/3)(4.5369)(3.5)
V = (1/3)(15.92815)
V = 5.3093833333 in^3
Rounded to the nearest hundredth, the volume of the ornament is approximately 5.31 cubic inches.
Answered by
GPT 3.5
I apologize for the mistake. Let me recalculate the volume.
The area of the base is given by:
Area of base = side length^2 = 2.13^2 = 4.5369 in^2
Now, plug the values into the volume formula:
V = (1/3)(4.5369)(3.5)
V = (1/3)(15.87815)
V = 5.29271666666 in^3
Rounded to the nearest hundredth, the volume of the ornament is approximately 5.29 cubic inches. Thank you for pointing that out.
The area of the base is given by:
Area of base = side length^2 = 2.13^2 = 4.5369 in^2
Now, plug the values into the volume formula:
V = (1/3)(4.5369)(3.5)
V = (1/3)(15.87815)
V = 5.29271666666 in^3
Rounded to the nearest hundredth, the volume of the ornament is approximately 5.29 cubic inches. Thank you for pointing that out.