A rectangular prism has a volume of 6,090 cm3, a width of 14 cm, and a length of 15 cm. What is the height of the rectangular prism?
Volume of rectangular prism
=width * length * height
14*15*H = 6090
Solve for H.
29
To find the height of the rectangular prism, we can use the formula for volume:
Volume = Length × Width × Height
Given that the volume is 6,090 cm^3, the width is 14 cm, and the length is 15 cm, we can substitute these values into the formula:
6,090 cm^3 = 15 cm × 14 cm × Height
Now, we need to solve for the height.
Divide both sides of the equation by (15 cm × 14 cm):
(6,090 cm^3) / (15 cm × 14 cm) = Height
After calculating the right side of the equation, we get:
36 cm = Height
Therefore, the height of the rectangular prism is 36 cm.
To find the height of the rectangular prism, we can use the formula for volume of a rectangular prism, which is:
Volume = Length × Width × Height
Given that the volume is 6,090 cm^3, the width is 14 cm, and the length is 15 cm, we can substitute these values into the formula:
6,090 cm^3 = 15 cm × 14 cm × Height
To solve for the height, we need to isolate it on one side of the equation. We can start by dividing both sides of the equation by the product of 15 cm and 14 cm:
(15 cm × 14 cm × Height) / (15 cm × 14 cm) = (6,090 cm^3) / (15 cm × 14 cm)
Simplifying this expression, we get:
Height = (6,090 cm^3) / (210 cm^2)
Now we can compute the height:
Height = 6,090 cm^3 / 210 cm^2
Dividing 6,090 cm^3 by 210 cm^2, we find:
Height ≈ 29 cm
Therefore, the height of the rectangular prism is approximately 29 cm.