Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm × 20 cm × 5 cm and the smaller of dimensions 15 cm × 12 cm × 5 cm.

Q: 7. Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions \small 25\hspace {1mm}cm \times 20\hspace {1mm}cm \times 5 \hspace {1mm}cm, and the smaller of dimensions \small 15\hspace {1mm}cm \times 12\hspace {1mm}cm \times 5 \hspace {1mm}cm. For all the overlaps, \small 5\% of the total surface area is required extra. If the cost of the cardboard is Rs 4 for \small 1000\hspace {1mm}cm^2,  find the cost of cardboard required for supplying 250 boxes of each kind.

Answers (1)

best_answer

Given,

Dimensions of the bigger box = \small 25\hspace {1mm}cm \times 20\hspace {1mm}cm \times 5 \hspace {1mm}cm,

Dimensions of smaller box =  \small 15\hspace {1mm}cm \times 12\hspace {1mm}cm \times 5 \hspace {1mm}cm

We know,

total surface area of a cuboid = 2(lb+bh+hl)

\therefore Total surface area of the bigger box = 2(25\times20+20\times5+5\times25)

= 2(500+100+125) = 1450\ cm^2

\therefore Area of the overlap for the bigger box = 5\%\ of\ 1450\ cm^2 = \frac{5}{100}\times1450 = 72.5\ cm^2

Similarly,

 

total surface area of the smaller box = 2(15\times12+12\times5+5\times15)

= 2(180+60+75) = 630\ cm^2

\therefore Area of overlap for the smaller box = 5\%\ of\ 630\ cm^2 = \frac{5}{100}\times630 = 31.5\ cm^2

Since 250 of each box are required,

\therefore Total area of cardboard required = 250[(1450+72.5)+(630 + 31.5)] = 546000\ cm^2

Cost of \small 1000\hspace {1mm}cm^2 of the cardboard = Rs 4 

\therefore Cost of \small 546000\hspace {1mm}cm^2 of the cardboard = \small Rs. (\frac{4}{1000}\times546000) = Rs. 2184

Therefore, the cost of the cardboard sheet required for 250 such boxes of each kind is \small Rs.\ 2184

Posted by

HARSH KANKARIA

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF
anam-khan

CBSE Date Sheet 2025 Live: CBSE Class 10, 12 board exam timetable soon at cbse.gov.in; practical dates
anam-khan

CBSE Date Sheet 2025 Live: CBSE to announce Class 10, 12 board exam dates soon at cbse.gov.in; sample paper

Latest Question