Question

Q.14) A suitcase with measures 80cm x 48cm x 24cm is to be covered with a tarpaulin cloth.
How many metres of tarpaulin of width 96cm is required to cover 100 such suitcases?​

Answer 1

Step-by-step explanation:

Ncert solutions

Grade 8

Mathematics

Science

Chapters in NCERT Solutions - Mathematics , Class 8

Exercises in Mensuration

Question 2

Q2.A suitcase with measures 80 cm × 48 cm × 24 cm is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases?

Ans 2. The amount of cloth required is equal to the total surface area of suitcase

suitcase is a cuboid

Total surface area=2(lb+bh+hl)

l=80cm

b=48cm

h=24cm

Total surface area= 2\times\left(80+48+48\times24+24\times80\right)2×(80+48+48×24+24×80)

=2(3840+1152+1920)

=13824\ cm^2=13824 cm

2

Area of 100 suitcases =100\times13824100×13824

=1382400

Area of tarpaulin=l\times bl×b

l=?

b=96 cm

Area =96\times l96×l

=96l

area of tarpaulin =area of 100 suitcases

96 l=1382400

l=\frac{1382400}{96}l=

96

1382400

=14400 cm