Question

The length of a box is twice the width and thrice the height. If the volume of the box is 288 m then find the dimensions of the box​

Answer 1

• length = 12 m
• width = 6 m
• height = 4 m

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