Final answer:
To find the height of the water in the tank, we need to determine 6/8 of the total height of the tank. We use the formula for volume of a rectangular prism to calculate the volume of the tank and set it equal to the volume of water in the tank to find the height of the water.
Step-by-step explanation:
To find the height of the water in the tank, we need to determine 6/8 of the total height of the tank. The tank measures 1m by 70cm, so the total height is the sum of these two dimensions. Converting the height of the tank to centimeters, we have 1m = 100cm and 70cm. Using the formula for volume of a rectangular prism, which is length times width times height, we can find the volume of the tank.
The volume of the tank is (1m)(70cm)(h) = 70h cubic cm. Since the tank is 6/8 full, the volume of water in the tank is (6/8)(70h) cubic cm.
To find the height of the water, we set the volume of the water equal to the volume of the tank and solve for h:
(6/8)(70h) = (1m)(70cm)(h)
Simplifying the equation, we have:
6h = 100h
Dividing both sides by 6, we get:
h = 16.7cm
Therefore, the height of the water in the tank is approximately 16.7cm.