Respuesta :
Answer:
32ft³
Step-by-step explanation:
Let the shape of the locker be cubic in nature.
Volume of a cube = L³
L is the side length of one of the lockers
Volume of four lockers = 4L³
If one side of the locker is 2feet long, then L = 2ft
Substitute into the formula;
Volume of four lockers = 4(2)³
Volume of four lockers = 4(8)
Volume of four lockers = 32ft³
Hence the total volume of all four lockers is 32ft³
To solve the problem we will calculate the volume of a single locker first.
The volume of the 4 lockers is equal to 32 ft³.
Given to us
one side of a locker is 2 feet long
Assumpting that the locker is of cube shape.
Length of the side of a Locker
As it is given that the side of the locker is 2 feet long, and we know that all the sides of a cube are of the same length, therefore, the length of the side of the cube is 2 feet.
What is the volume of the Locker?
We know that the shape of the locker is cubic in nature, therefore,
The volume of the locker = Volume of the Cube
= (Side of the cube)³
= (2)³ = 8 ft³
Thus, the volume of a cubic locker is 8 ft³.
What is the volume of 4 such lockers?
We have already calculated the volume of a locker, therefore, the volume of 4 such lockers will be 4 times the volume of a locker,
The volume of 4 lockers = 4 x volume of a lockers
= 4 x 8 ft³
= 32 ft³
Hence, the volume of the 4 lockers is equal to 32 ft³.
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