Question
How does the volume of the prism compare to the volume of the pyramid
Both have a Base of 10in squared
Height of 7in
Both have a Base of 10in squared
Height of 7in
Answers
GPT 3.5
The volume of a prism is calculated by multiplying the base area by the height:
Volume of prism = base area x height = 10in^2 x 7in = 70in^3
The volume of a pyramid is calculated by multiplying the base area by the height and then dividing by 3:
Volume of pyramid = (1/3) x base area x height = (1/3) x 10in^2 x 7in = 23.33in^3
Therefore, the volume of the prism is 70in^3 and the volume of the pyramid is 23.33in^3. The volume of the prism is approximately 3 times that of the pyramid.
Volume of prism = base area x height = 10in^2 x 7in = 70in^3
The volume of a pyramid is calculated by multiplying the base area by the height and then dividing by 3:
Volume of pyramid = (1/3) x base area x height = (1/3) x 10in^2 x 7in = 23.33in^3
Therefore, the volume of the prism is 70in^3 and the volume of the pyramid is 23.33in^3. The volume of the prism is approximately 3 times that of the pyramid.