Length breadth and height of a cuboid are in the ratio 6 ratio 4 ratio 5 if total surface area of cuboid is 2368 CM square find its dimensions
Answers
u should write the ratio like this6:4:
length=6x; breadth= 5x; height = 4x
the surface area of cuboid =2368 cm^2
length =l parts / total parts * surface area
~ 6x/15x *2368
likewise use the same formula in breadth and height
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Answer:
hope it will help you↓.
Step-by-step explanation:
let length = 6x
breadth = 4x
height = 5x
total surface area of cuboid= 2(lb + bh + hl)
2(6x X 4x + 4x X 5x + 5x X 6x)cm²
2(24x² + 20x² + 30x²)cm²
148x² cm².
given ,total surface area = 2368cm²
148x² = 2368cm²
x² = 2368/148 cm²
x = √16
x = 4
length of the cuboid = 6x
⇒ 6 X 4 ⇒ 24cm
breadth of the cuboid = 4x
⇒ 4 X 4 ⇒ 16 cm
height of the cuboid = 5x
⇒ 5 X 4 ⇒ 20cm