A triangular prism has a base with area 45 cm^2 and height 14 cm. If 10% of the prism is hollowed out for wiring, what is the volume of the solid part?
A triangular prism has a base with area 45 $\text{cm}^2$ and height 14 cm. If 10% of the prism is hollowed out for wiring, what is the volume of the solid part?
एक त्रिकोणीय प्रिज़्म का आधार क्षेत्रफल 45 सेमी² है और ऊँचाई 14 सेमी है। यदि 10% भाग वायरिंग के लिए खोखला (निकाल) दिया जाता है, तो ठोस भाग का आयतन कितना होगा?
Detailed Solution & Logic
Correct Answer:
567$ \text{cm}^3$ / 567$ \text{सेमी}^3$
Volume of prism = Base area × height
= $45 \times 14 = 630 \text{ cm}^3$
10% is hollowed out ⇒ remaining = 90%
Solid volume = 90% of 630
= $0.9 \times 630 = 567 \text{ cm}^3$
Final Answer:
👉 567 $\text{cm}^3$ / 567 सेमी³
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