The volume of a cuboid is 1536m3. Its length is 16m, and its breadth a

1.	The volume of a cuboid is 1536m3. Its length is 16m, and its breadth and height are in the ratio 3:2. Find the breadth and height of the cuboid.
Answer» It is given that Volume of cuboid = 1536 m3 Length of cuboid = 16m Consider breath as 3x and height as 2x We know that Volume of cuboid = l × b × h By substituting the values 1536 = 16 × 3x × 2x On further calculation 1536 = 96 x² So we get x²= 1536/96 x² = 16 By taking the square root x = √16 We get x = 4m Substituting the value of x Breadth of cuboid = 3x = 3(4) = 12m Height of cuboid = 2x = 2(4) = 8m Therefore, the breadth and height of the cuboid are 12m and 8m.

The volume of a cuboid is 1536m3. Its length is 16m, and its breadth and height are in the ratio 3:2. Find the breadth and height of the cuboid.

Answer»

It is given that

Volume of cuboid = 1536 m3

Length of cuboid = 16m

Consider breath as 3x and height as 2x

We know that

Volume of cuboid = l × b × h

By substituting the values

1536 = 16 × 3x × 2x

On further calculation

1536 = 96 x²

So we get

x²= 1536/96

x² = 16

By taking the square root

x = √16

We get

x = 4m

Substituting the value of x

Breadth of cuboid = 3x = 3(4) = 12m

Height of cuboid = 2x = 2(4) = 8m

Therefore, the breadth and height of the cuboid are 12m and 8m.