Asked by Will
custom fish tank shaped like a rectangular prism needs to have a length of 20 inches, a width of 18 inches and hold a volume of 8550 cubic inches. What height must the tank be made to meet these specifications?
Answers
Answered by
GPT 3.5
To find the height of the tank, we can use the formula for the volume of a rectangular prism:
Volume = Length x Width x Height
Given that the volume is 8550 cubic inches, the length is 20 inches, and the width is 18 inches, we can plug these values into the formula:
8550 = 20 x 18 x Height
8550 = 360 x Height
Divide both sides by 360:
Height = 8550 / 360
Height = 23.75
Therefore, the tank must have a height of 23.75 inches to meet the specified dimensions and volume.
Volume = Length x Width x Height
Given that the volume is 8550 cubic inches, the length is 20 inches, and the width is 18 inches, we can plug these values into the formula:
8550 = 20 x 18 x Height
8550 = 360 x Height
Divide both sides by 360:
Height = 8550 / 360
Height = 23.75
Therefore, the tank must have a height of 23.75 inches to meet the specified dimensions and volume.