a rectangular tank 10inches by 8 inches by 4 inches is filled with water if all of the water is to be transferred to cube shaped tanks each one 3 inches on a side how many of these smaller tanks are needed?
volume of big tank = 10x8x4 or 320 inches^3
volume of a little tank = 3x3x3 or 27 inches^3
number of little tanks = 320/27 = 11.8..
you will need 12 tanks, the last one will be not quite full.
To determine how many cube-shaped tanks are needed to transfer all the water, we need to calculate the volume of the rectangular tank and the volume of each cube-shaped tank.
1. Calculate the volume of the rectangular tank:
Volume = length x width x height
Volume = 10 inches x 8 inches x 4 inches
Volume = 320 cubic inches
2. Calculate the volume of each cube-shaped tank:
Volume = side length x side length x side length
Volume = 3 inches x 3 inches x 3 inches
Volume = 27 cubic inches
3. Divide the volume of the rectangular tank by the volume of each cube-shaped tank to determine the number of smaller tanks needed:
Number of smaller tanks = Volume of rectangular tank / Volume of cube-shaped tank
Number of smaller tanks = 320 cubic inches / 27 cubic inches
Number of smaller tanks = 11.85
Therefore, you would need 12 of the cube-shaped tanks to transfer all the water from the rectangular tank.
To find out how many smaller cube-shaped tanks are needed to transfer the water from the rectangular tank, we need to determine the volume of both tanks.
Volume of the rectangular tank:
The volume of a rectangular tank can be calculated by multiplying its length, width, and height. So, for the given rectangular tank with dimensions 10 inches by 8 inches by 4 inches, the volume is:
Volume = Length × Width × Height
Volume = 10 inches × 8 inches × 4 inches
Volume = 320 cubic inches
Volume of the cube-shaped tank:
The volume of a cube-shaped tank can be calculated by cubing the length of one side. So, for the given cube-shaped tank with side length 3 inches, the volume is:
Volume = Side length × Side length × Side length
Volume = 3 inches × 3 inches × 3 inches
Volume = 27 cubic inches
Now, to determine how many smaller tanks are needed, divide the volume of the rectangular tank by the volume of the cube-shaped tank:
Number of smaller tanks = Volume of rectangular tank / Volume of cube-shaped tank
Number of smaller tanks = 320 cubic inches / 27 cubic inches
Number of smaller tanks ≈ 11.85
Since you cannot have a fraction of a tank, you will need to round up to the next whole number. Therefore, you will need a total of 12 smaller cube-shaped tanks to accommodate the water from the rectangular tank.