Answer:
- length = 12 m
- width = 6 m
- height = 4 m
Step-by-step explanation:
Let the height be x.
- Length is 3 thrice the height, so length ⇒ 3x
- Length is twice the width, so width ⇒ 3x/2
We know the formula for volume of the box.
- V = lwh
- V = (3x)(3x/2)(x)
- 288 = 9x³/2
- 9x³ = 576
- x³ = 64
- x = 4 m
Dimensions
- height = x = 4 m
- width = 3x/2 = 3(4)/2 = 6 m
- length = 3x = 3(4) = 12 m
