101,672 views
28 votes
28 votes
The breadth of a box is two third of its length and height is one third of its length. if the volume of box is 48m³, find the area of the base of the box.​

User AFract
by
2.9k points

1 Answer

16 votes
16 votes

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.

User Demz
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.