13. The volume of a cuboid is 1536 mº. Its length is 16 m, and its breadth
and height are in the ratio 3:2. Find the breadth and height of
the cuboid.
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13. The volume of a cuboid is 1536 mº. Its length is 16 m, and its breadth
and height are in the ratio 3:2. Find the breadth and height of
the cuboid.
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Answer:
the WIDTH and height of the cuboid are 23
Step-by-step explanation:
Answer:
The breadth and height of the cuboid are 12 m and 8 m respectively.
Step-by-step-explanation:
We have given that,
Volume of cuboid = 1536 m³
Length = 16 m
Breadth and height are in the ratio 3 : 2.
Let the common multiple be x.
∴ Breadth = 3x
Height = 2x
Now, we know that,
Volume of cuboid = Length * Breadth * Height
⇒ 1536 = 16 * 3x * 2x
⇒ 1536 = 16 * 6x²
⇒ 6x² = 1536 ÷ 16
⇒ 6x² = 96
⇒ x² = 96 ÷ 6
⇒ x² = 16
⇒ x = 4
Now,
Breadth = 3x
⇒ Breadth = 3 * 4
⇒ Breadth = 12 m
Now,
Height = 2x
⇒ Height = 2 * 4
⇒ Height = 8 m
∴ The breadth and height of the cuboid are 12 m and 8 m respectively.