A cuboid has a volume of $ 350 \text{cm}^3$ and its length is twice its height. If the breadth is 7 cm, find its dimensions.
A cuboid has a volume of $ 350 \text{cm}^3$ and its length is twice its height. If the breadth is 7 cm, find its dimensions.
एक घनाभ का आयतन 350 घन सेंटीमीटर है और इसकी लंबाई इसकी ऊँचाई की दोगुनी हैं। यदि चौड़ाई 7 सेंटीमीटर है, तो इसके आयाम ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
$10 \text{cm} \times7 \text{cm}\times 5\text{cm}$
$l=2h,\quad b=7\text{ cm},\quad \text{Volume}=350\text{ cm}^3$
$l\times b\times h=350$
$2h\times7\times h=350$
$14h^2=350$
$h^2=25$
$h=5\text{ cm}$
$l=2\times5=10\text{ cm}$
$l=10\text{ cm},\ b=7\text{ cm},\ h=5\text{ cm}$
Correct Answer: $10\text{ cm}\times7\text{ cm}\times5\text{ cm}$ ✅
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