单选题A rectangular fish tank has a base 2 feet wide and 3 feet long. When the tank is partially filled with water, a solid cube with an edge length of 1 foot is placed in the tank. If no overflow of water from the tank is assumed, by how many inches will the level of the water in the tank rise when the cube becomes completely submerged?A1/6B1/2C2D3E4
单选题
A rectangular fish tank has a base 2 feet wide and 3 feet long. When the tank is partially filled with water, a solid cube with an edge length of 1 foot is placed in the tank. If no overflow of water from the tank is assumed, by how many inches will the level of the water in the tank rise when the cube becomes completely submerged?
A
1/6
B
1/2
C
2
D
3
E
4
参考解析
解析：
When a solid cube with an edge length of 1 foot is placed in the fish tank, it displaces a volume of water that is equal to the volume of the cube, which is 1×1×1 or 1 cubic foot. If h represents the change in the number of feet in the height of the water in the fish tank, then
Volume of displaced water = 2×3 ×h = 1
h = 1/6 foot
Hence, the number of inches the level of the water in the tank will rise is 1/6 ×12 or 2.
When a solid cube with an edge length of 1 foot is placed in the fish tank, it displaces a volume of water that is equal to the volume of the cube, which is 1×1×1 or 1 cubic foot. If h represents the change in the number of feet in the height of the water in the fish tank, then
Volume of displaced water = 2×3 ×h = 1
h = 1/6 foot
Hence, the number of inches the level of the water in the tank will rise is 1/6 ×12 or 2.
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