Jeremy has a fish tank that has a 40-cm by 70-cm rectangular
base. The water is 25 cm deep. When he drops rocks
into the tank, the water goes up by 2 cm. What is the volume
in liters of the rocks
40 * 70 * 2 = ? cc
Convert to liters.
I hope this helps.
To find the volume of the rocks in liters, we need to calculate the change in volume of the water when the rocks are dropped into the tank.
First, let's find the initial volume of the water in the tank. The tank has a rectangular base with dimensions 40 cm by 70 cm, and a height of 25 cm. The formula to calculate the volume of a rectangular prism is V = length x width x height. Therefore, the initial volume of the water is:
V_initial = 40 cm x 70 cm x 25 cm
Next, let's find the final volume of the water when the rocks are dropped in. The height of the water increases by 2 cm. So now, the height of the water would be 25 cm + 2 cm = 27 cm. The other dimensions of the rectangular base do not change. Therefore, the final volume of the water is:
V_final = 40 cm x 70 cm x 27 cm
To find the volume of the rocks, we need to subtract the initial volume of the water from the final volume of the water:
V_rocks = V_final - V_initial
Now we have the volume of the rocks in cubic centimeters. However, the question asks for the volume in liters. To convert cubic centimeters to liters, we need to divide by 1000, since 1 liter is equal to 1000 cubic centimeters.
Volume_in_liters = V_rocks / 1000
Calculate the value of V_rocks and divide it by 1000 to get the volume of the rocks in liters.