Question

the ratio of the lenght,bredth,and height of a cuboid is 5:3:2.If its volume is 3750cmsquare .Find the length breadth and height

Answer 1

Let's assume -

The length (L) = 5x cm

The breadth (B) = 3x cm

The height (H) = 2x cm

According to Question,

Volume of Cuboid = 3,750 cm³

⇒ L × B × H = 3,750 cm³

⇒ 5x × 3x × 2x = 3,750

⇒ 30x³ = 3,750

⇒ x³ = 3,750 / 30

⇒ x³ = 125

⇒ x³ = 5³

⇒ x = 5

Required Measurements -

Length = 5x = 5(5) = 25 cm

Breadth = 3x = 3(5) = 15 cm

Height = 2x = 2(5) = 10 cm

Hence, the length, the breadth & the height are 25cm, 15cm & 10cm respectively.

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Answer 2

Let's assume -

The length (L) = 5x cm

The breadth (B) = 3x cm

The height (H) = 2x cm

According to Question,

Volume of Cuboid = 3,750 cm³

⇒ L × B × H = 3,750 cm³

⇒ 5x × 3x × 2x = 3,750

⇒ 30x³ = 3,750

⇒ x³ = 3,750 / 30

⇒ x³ = 125

⇒ x³ = 5³

⇒ x = 5

Required Measurements -

Length = 5x = 5(5) = 25 cm

Breadth = 3x = 3(5) = 15 cm

Height = 2x = 2(5) = 10 cm

Hence, the length, the breadth & the height are 25cm, 15cm & 10cm respectively.