Question

The length,breath and height of a cuboid are in the ratio 5:3:2 the volume of a cuboid is 15360. find the length, breath and height ?

Answer 1

Hey friend

Solution is as follows-:

Let the ratio be X
So, Length=5X (l)
Breadth=3X (b)
Height=2X. (h)

=>Volume of Cuboid= l×b×h
=>15360cm³=5X×3X×2X
=>15360cm³=30X³
=>512cm³= X³
Cube root both the sides
=>8cm=X

So,
Length=5×8=40cm
Breadth=3×2=6cm
Height=2×2=4cm


Be perfectionist

Answer 2

✬ Length = 40 ✬

✬ Breadth = 24 ✬

✬ Height = 16 ✬

Step-by-step explanation:

Given:

• The length , breadth and height of a Cuboid are in ratio 5 : 3 : 2.
• Volume of Cuboid is 15360 .

To Find:

• What is the measure of length , breadth and height of the Cuboid?

Solution: Let x be the common in given ratios.

• Length = 5x
• Breadth = 3x
• Height = 2x

★ Volume of Cuboid = ( Length x Breadth x Height ) ★

A/q

$\small\implies{\sf }$ L x B x H = 15360

$\small\implies{\sf }$ (5x) (3x) (2x) = 15360

$\small\implies{\sf }$ 30x³ = 15360

$\small\implies{\sf }$ x³ = 15360/30

$\small\implies{\sf }$ x³ = 512

$\small\implies{\sf }$ x = √8 x 8 x 8

$\small\implies{\sf }$ x = 8

∴ Length = 5x = 5(8) = 40

Breadth = 3x = 3(8) = 24

Height = 2x = 2(8) = 16

_______________________

★ Check ★

→ L x B x H = 15360

→ 40 x 24 x 16 = 15360

→ 15360 = 15360

Hence, LHS = RHS