Answer:
Explanation:
To find the area of the base of the box, we need to determine the length, breadth, and height of the box. We can set up a system of equations to represent the given information:
breadth = 2/3 * length
height = 1/3 * length
volume = length * breadth * height
Substituting the second equation into the third equation, we get:
volume = length * breadth * (1/3 * length)
= length^2 * (2/3) * (1/3)
= (2/9) * length^2
= 48
= 2^4 * 3
Solving for length, we find that length = 6. Plugging this value back into the first equation, we find that breadth = 4.
Therefore, the area of the base of the box is length * breadth = 6 * 4 = 24 square meters.