Question

The length of a box is twice the breadth and thrice the height.If the volume of box is 288cm×cm×cm.Then find the base area of box

Answer 1

Answer:

the dimensions of the box are:-( the solution attached)

And the base area is height * length

= 12* 4

48 cm^2

Answer 2

Answer:

Base area = 72cm^2

Step-by-step explanation:

Let, L, b, h be the length, breadth, height of the box.

According to the given condition

L = 2b

Therefore b = L/2 and

L = 3h

Therefore h = L/3

Given that

Volume (v) = 288

L×b×h = 288

L×L/2×L/3 = 288

L^3 = 288×6

L^3 = 1728

Taking cube root on both side

L = 12

Therefore

b = 6

Base area = L×b

= 12 × 6

= 72cm^2