30 सेमी भुजा लंबाई वाला एक घनाकार डिब्बा सजावटी कागज से लपेटना है। यह कागज 6 सेमी भुजा वाले वर्गाकार टुकड़ों में है। पूरे डिब्बे की सतह को ढकने के लिए ऐसे वर्गाकार टुकड़ों की न्यूनतम संख्या कितनी होगी?
A cubic box with a side length of 30 cm needs to be wrapped with decorative paper made of square pieces, each with a side of 6 cm.
A cubic box with a side length of 30 cm needs to be wrapped with decorative paper made of square pieces, each with a side of 6 cm. What is the minimum number of such square pieces required to cover the entire surface of the box?
Detailed Solution & Logic
Correct Answer:
150
Side of cube = 30 cm
Surface area of cube:
$SA = 6a^2$
$SA = 6 \times 30^2$
$SA = 6 \times 900$
$SA = 5400 , cm^2$
Area of one square paper:
$A = 6^2 = 36 , cm^2$
Number of square pieces required:
$\frac{5400}{36} = 150$
Minimum number of square pieces required = 150
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