the width of a box is two third of its length and height is one third of its length . if the volume of the box is 384 cubic meter , find the dimensions of the box .
Answers
Step-by-step explanation:
height=l/3
width=2l/3
length= l
Volume= 384 cm³
Volume= Length*Width* height
= l* 2l/3 * l/3
384cm³= 2l³/9
384*9/2= l³
1728= l³
³√1728= l
12cm =l
w= 2*12/3= 8cm
h= 12/3= 4 cm
Answer:
Length = 24 m
Width = 16 m
Height = 8 m
Step-by-step explanation:
From the above question,
They have given :
The width of a field is two 1/3 of its size and top is one 0.33 of its size . if the extent of the container is 384 cubic meter.
Here , we want to locate the dimensions of the box.
Let the size = x
Width = 2/3 x
Height = 1/3 x
Volume = x * (2/3 x) * (1/3 x)
Volume = x³
x³ = 384
x = 24
Width = 2/3 x
Width = 16
Height = 1/3 x
Height = 8
Therefore, the dimensions of the container are:
Length = 24 m
Width = 16 m
Height = 8 m
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