The tank has the shape of a cube with an edge of 2 dm. Find the capacity of this tank in cubic decimeters and express
The tank has the shape of a cube with an edge of 2 dm. Find the capacity of this tank in cubic decimeters and express it in liters. Calculate the area of the side walls of this tank.
Let’s calculate the volume of the cube using the formula:
V = a ^ 3,
where a is the edge of the cube.
(2 dm) ^ 3 = 8 dm ^ 3 – tank capacity.
Let’s translate into liters:
1 dm ^ 3 = 1 l,
8 dm ^ 3 = 8 l.
Let’s calculate the area of the side walls of the tank. Since the tank is in the shape of a cube, the sides are in the shape of a square. Then the side area is equal to:
(2 dm) ^ 2 = 4 dm ^ 2 – tank side area.
And now we can calculate the sum of the area of the side walls of the tank:
4 * 4 = 16 dm ^ 2 – the area of the side walls of the tank.
Answer: the capacity of the tank is 8 liters, the area of the side walls is 16 dm ^ 2.