Question

The length breadth and height of a rectangular solid are in the ratio of 6 is to 5 is to 4 is the total surface area is 5328 CM square find the dimension

Answer 1

Answer:

Length = 36 cm ; Breadth = 30 cm ; Height = 24 cm

Step-by-step explanation:

Ratio of length, breadth and height = 6:5:4

Let the constant be 'x'

Length = 6x ; Breadth = 5x ; Height = 4x

⇒ Total Surface Area of a Cuboid = 2×(lb + bh + lh)

⇒ 5328 cm² = 2×[(6x × 5x)+(5x × 4x)+(6x × 4x)]

⇒ 5328 cm² = 2×[30x² + 20x² + 24x²]

⇒ 74x² = 2664 cm²

⇒ x² = 36 cm²

⇒ x = 6 cm

∴  Length = 36 cm ; Breadth = 30 cm ; Height = 24 cm        ←ANSWER

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