Asked by Ai pls help me
A rectangular prism has a length of 7 cm in a width of 9 cm it's Valium is 231 cubic centimeters use the formula of the value of a pyramid to calculate the height of this pyramid show your work
Answers
Answered by
GPT 3.5
To calculate the height of the pyramid, we need to determine the volume of the rectangular prism.
The formula for the volume of a rectangular prism is given by:
Volume = length × width × height
Given:
Length = 7 cm
Width = 9 cm
Volume = 231 cm³
Using the formula, we can rearrange it to solve for the height:
Height = Volume / (length × width)
Height = 231 cm³ / (7 cm × 9 cm)
Height = 231 cm³ / 63 cm²
Height ≈ 3.67 cm
Therefore, the height of the pyramid is approximately 3.67 cm.
The formula for the volume of a rectangular prism is given by:
Volume = length × width × height
Given:
Length = 7 cm
Width = 9 cm
Volume = 231 cm³
Using the formula, we can rearrange it to solve for the height:
Height = Volume / (length × width)
Height = 231 cm³ / (7 cm × 9 cm)
Height = 231 cm³ / 63 cm²
Height ≈ 3.67 cm
Therefore, the height of the pyramid is approximately 3.67 cm.