nainabhandari85
nainabhandari85 nainabhandari85
  • 24-04-2022
  • Mathematics
contestada


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​

Respuesta :

Аноним Аноним
  • 24-04-2022

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
Answer Link

Otras preguntas

The steadiness with which a car follows the path chosen by the driver is called planing traction hydroplaning
The opposite angles of a rhombus are equal. a. True b. False
In the period leading up to world war i, how did nationalism unite or divide citizens?
Max and his friend zeke are comparing their ages. they figure out that if they double maxs age from 3 years ago and add it to zekes current age,the sum is 26. i
Why was 1968 a year of turmoil in US history?
Osteoporosis result from which of the followings?
Multiply and simplify into lowest form
You buy a new piece of equipment for $7,360, and you receive a cash inflow of $1,000 per year for 10 years. what is the internal rate of return?
(tco 3) what is the result when 9f016 is decremented by 1?
Why are social workers important in schools?' 40 POINTS!! 3-5 SENTENCES PLEASE!