The length of cold storage of cuboidal shape is double its breadth and its height is half of its breadth. If its volume is 216m
3
, then what are the dimensions of the cold storage?
- A12m×6m×3m
- B12m×9m×5m
- C14m×7m×5m
- D8m×4m×2m
Solution & Step-by-step Explanation
Let the breadth of the cuboid be b metres.
According to the question:
Length (l)=2b
Height (h)=
2
b
The formula for the volume (V) of a cuboid is:
V=l×b×h
Substituting the given values:
216=(2b)×b×(
2
b
)
216=b
3
b=
3
216
=6m
Now find the remaining dimensions:
Breadth (b)=6m
Length (l)=2×6=12m
Height (h)=
2
6
=3m
Therefore, the dimensions are 12m×6m×3m.
According to the question:
Length (l)=2b
Height (h)=
2
b
The formula for the volume (V) of a cuboid is:
V=l×b×h
Substituting the given values:
216=(2b)×b×(
2
b
)
216=b
3
b=
3
216
=6m
Now find the remaining dimensions:
Breadth (b)=6m
Length (l)=2×6=12m
Height (h)=
2
6
=3m
Therefore, the dimensions are 12m×6m×3m.