దీర్ఘఘనం యొక్క ఘనపరిమాణం ఘనం కంటే రెట్టింపు ఉంటుంది. ఒకవేళ దీర్ఘఘనం యొక్క కొలతలు (8 మీ × 8 మీ ×16 మీ)అయితే, ఘనం యొక్క మొత్తం ఉపరితల వైశాల్యం ఎంత?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. 316 మీ2
  2. 288 మీ2
  3. 324 మీ2
  4. 384 మీ2

Answer (Detailed Solution Below)

Option 4 : 384 మీ2
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Detailed Solution

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ఇచ్చింది:

దీర్ఘఘనం యొక్క ఘనపరిమాణం ఘనం కంటే రెట్టింపు ఉంటుంది.

ఎత్తు = 16 సెం.మీ.

వెడల్పు = 8 సెం.మీ

పొడవు = 8 సెం.మీ.

ఉపయోగించిన సూత్రం:

దీర్ఘఘనం యొక్క ఘనపరిమాణం = పొడవు × వెడల్పు × ఎత్తు

ఘనం యొక్క ఘనపరిమాణం= (అంచు) 3

గణన:

దీర్ఘఘనం యొక్క ఘనపరిమాణం = 8 × 8 × 16 

= 1024

దీర్ఘఘనం యొక్క ఘనపరిమాణం = ఒక ఘనం యొక్క ఘనపరిమాణం 2 ×.

దీర్ఘఘనం యొక్క ఘనపరిమాణం = 2 × (అంచు)3

(అంచు)3 = 1024/2 = 512సెం.మీ

అంచు = 8 సెం.మీ

దీర్ఘఘనం  యొక్క మొత్తం ఉపరితల వైశాల్యం = 6 × 64

= 384 సెం.మీ 2

∴ దీర్ఘఘనం  యొక్క మొత్తం ఉపరితల వైశాల్యం 384 సెం.మీ 2.
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