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uysha [10]
2 years ago
13

The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete

r,find the dimensions of the box.​
Mathematics
1 answer:
Black_prince [1.1K]2 years ago
5 0

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

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