Question

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.
​

Answer 1

Answer:

the WIDTH and height of the cuboid are 23

Step-by-step explanation:

Answer 2

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.