A fish tank in the shape of a rectangular prism has dimensions of
14 inches, 16 inches, and 10 inches. The tank contains 1680 cubic inches of water. What percent of the fish tank is empty?
full volume = 14(16)(10) inches^3
= 2240 inches^3
amount which is empty = 2240-1680
= 560 inches^3
percent empty = 560/2240
= .25
or 25% empty
thank you !
To find the volume of the fish tank, we multiply its dimensions:
Volume of the fish tank = length x width x height = 14 inches x 16 inches x 10 inches = 2240 cubic inches
To find the volume of the water in the tank, we are given that it is 1680 cubic inches.
To find the percent of the tank that is empty, we need to subtract the volume of the water from the total volume of the tank:
Empty space = Volume of the tank - Volume of the water = 2240 cubic inches - 1680 cubic inches = 560 cubic inches
To find the percentage, we need to calculate the ratio of the empty space to the total volume of the tank and multiply it by 100:
Percentage of the tank that is empty = (Empty space / Total volume) x 100 = (560 cubic inches / 2240 cubic inches) x 100 = 25%
Therefore, 25% of the fish tank is empty.
To find the percentage of the fish tank that is empty, we first need to find the volume of the fish tank. The volume of a rectangular prism can be calculated by multiplying the length, width, and height.
Given:
Length = 14 inches
Width = 16 inches
Height = 10 inches
Volume of the fish tank = Length * Width * Height
Plugging in the given values:
Volume = 14 inches * 16 inches * 10 inches
Calculating the volume:
Volume = 2,240 cubic inches
Now, to find the percentage of the fish tank that is empty, we can subtract the volume of water in the tank from the total volume of the tank, and then divide that by the total volume and multiply by 100.
Empty volume = Total volume - Volume of water
Empty volume = 2,240 cubic inches - 1,680 cubic inches
Empty volume = 560 cubic inches
Percentage of fish tank that is empty = (Empty volume / Total volume) * 100
Percentage of fish tank that is empty = (560 cubic inches / 2,240 cubic inches) * 100
Calculating the percentage:
Percentage of fish tank that is empty = 25%
Therefore, 25% of the fish tank is empty.