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 of cuboid?

Answer 1

here is the answer
sum of terms = 5+3+2 = 10

length = 5/10 × 15360
=> 7680

breadth = 3/10 × 15360
=> 4608

height = 2/10×15360
=> 3072

Answer 2

$\huge\underline\mathrm{AnswEr:-}$

Length = 40 cm

Breadth = 24 cm

Height = 16 cm

$\huge\underline\mathrm{GivEn:-}$

↪ The length breath and height of a cuboid are in the ratio 5:3:2

↪ The volume of a cuboid is 15360

$\huge\underline\mathrm{To\: Find:-}$

Find the length, breath, and height of cuboid?

$\huge\underline\mathrm{SoLution:-}$

Let the length, breadth, amd height of cuboid is 5x, 3x, and 2x

According to question :-

Volume of Cuboid:-$</strong><strong>l</strong><strong>\times b \times h$

$\implies$$5x\times 3x \times 2x$ = 15360

$\implies$ 30x³ = 15360

$\implies$ x³ = $\large{\sf {\frac{15360}{30}}}$

$\implies$ x³ = 512

$\huge\rm$ x = 8 cm

Length = 5(8) = 40 cm

Breadth = 3(8) = 24 cm

Height = 2(8) = 16 cm

$\large\underline\mathrm{Extra\: Information:-}$

C.S.A. of Cuboid = 2(lh + bh)

T.S.A of cuboid = 2(lb + bh + hl)

Volume of cuboid = LxBxH

Diagonal of cuboid = √3 x side

$\huge\underline\mathrm{ThAnKs....}$