Question

The volume of an cuboid is 1536m^2. it's length is 16m,and it's breadth and height are in the ratio 3:2. Find the breadth and height of cuboid ​

Answer 1

Answer:

let the breadth and height of the cuboid is 3x and 2x

so

l×b×h=1536m³

16m×3x×2x=1536m³

6x²=1536m³/16m

x²=96/6m²

x²=16

x=

$\sqrt{16}$

x=4

so

3x=3×4=12

2x=2×4=8

hope it help

Answer 2

$\sf\large\underline\blue{Given:}$

$\sf{\implies Volume\:_{(cuboid)}=1536m^3}$

$\sf{\implies Length\:_{(cuboid)}=16m}$

$\sf{\implies Cuboid\:_{(breadth:\: height)}=3:2}$

$\sf\large\underline\blue{To\: Find:}$

$\sf{\implies Cuboid\:_{(breadth\:and\: height)}=?}$

$\sf\large\underline\blue{Solution:}$

• At first we have to assume the breadth and height of cuboid be x then applying the formula of volume of cuboid to calculate the value of breadth and height]

$\sf\large\underline\blue{Formula\: Used:}$

$\sf\large\underline{Let,\: breadth=3x\:\: height=2x:}$

$\tt{\implies Volume\:_{(cuboid)}=l*b*h}$

$\tt{\implies 16*3x*2x=1536}$

$\tt{\implies 96x^2=1536}$

$\tt{\implies x^2=16\implies x=\sqrt{16}=4}$

$\sf\large{Hence,}$

$\sf{\implies Breadth\:_{(cuboid)}=3x=3*4=12m}$

$\sf{\implies Height\:_{(cuboid)}=2x=2*4=8m}$