Question
Download Solution PDFएका लोलकाचा तळ हा 8 सेमी बाजूचा एक चौरस आहे. लोलकाची उंची 20 सेमी असल्यास, त्या लोलकाचे एकूण पृष्ठफळ काढा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
एका लोलकाचा तळ हा 8 सेमी बाजूचा एक चौरस आहे.
लोलकाची उंची 20 सेमी आहे.
वापरलेले सूत्र:
लोलकाचे एकूण पृष्ठफळ = लोलकाचे बाह्य पृष्ठफळ + 2(तळाचे क्षेत्रफळ)
लोलकाचे बाह्य पृष्ठफळ = तळाची परिमिती × उंची
चौरसाचे क्षेत्रफळ = बाजू × बाजू
गणना:
प्रश्नानुसार, आपल्याकडे,
एका लोलकाचा तळ हा 8 सेमी बाजूचा एक चौरस आहे.
म्हणून, चौरसाचे क्षेत्रफळ,
⇒ क्षेत्रफळ = बाजू × बाजू
⇒ क्षेत्रफळ = 8 × 8
⇒ क्षेत्रफळ = 64 सेमी2
आणि, चौरसाची परिमिती,
⇒ परिमिती = 4 × बाजू
⇒ परिमिती = 4 × 8
⇒ परिमिती = 32 सेमी
लोलकाचे बाह्य पृष्ठफळ,
लोलकाचे बाह्य पृष्ठफळ = तळाची परिमिती × उंची
⇒ लोलकाचे बाह्य पृष्ठफळ = 32 × 20
⇒ लोलकाचे बाह्य पृष्ठफळ = 640 सेमी2
आता, लोलकाचे एकूण पृष्ठफळ,
लोलकाचे एकूण पृष्ठफळ = लोलकाचे बाह्य पृष्ठफळ + 2(तळाचे क्षेत्रफळ)
⇒ लोलकाचे एकूण पृष्ठफळ = 640 + 2(64)
⇒ लोलकाचे एकूण पृष्ठफळ = 640 + 128
⇒ लोलकाचे एकूण पृष्ठफळ = 768 सेमी2
∴ लोलकाचे एकूण पृष्ठफळ = 768 सेमी2.
Last updated on Jul 19, 2025
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