Question

a solid iron box is 8cm long 6cm broad and 4 cm high. find the weight of the box in kg. if 10cm of iron weighs 180 grams​

Answer 1

$\huge\mathbb{\underline{SOLUTION:-}}$

$\sf\underline{\purple{\:\:\:\: Given\:\:\:\:}}$

$\sf\bullet Dimensions\:of\:Box\\ \\ \sf\bullet 8cm\:,6cm\:,4cm\\ \\ \sf\bullet 10cm{}^{3}\:iron\:weights =180grams$

Now :-

$\sf\underline{\red{\:\:\:\:\:\:\:\: Solution\:\:\:\:\:}}$

$\sf :\implies Volume\:of\:Cuboid=l\times b\times h\\ \\ \sf:\implies Volume\:of\:box=8\times 6\times 4\\ \\ \sf:\implies Volume=48\times 4\\ \\ \sf:\implies Volume=192cm{}^{3}$

Now the weight

$\sf:\hookrightarrow 10cm{}^{3}=180\\ \\ \sf:\hookrightarrow 1cm{}^{3}=\cancel{\dfrac{180}{10}}=18\\ \\ \sf\implies weight\:of\:1cm{}^{3}=18g\\ \\ \sf\:\:\:\:Now\:The\:weight\:of\:192cm{}^{3}\\ \\ \sf\implies weight\:of\:192cm{}^{3}=18\times 192\\ \\ \sf\implies weight\:of\:192cm{}^{3}=3456g$

$\boxed{\sf{weight\:of\:box= 3456g}}$

Answer 2

Given,

• length =8cm
• breadth =6cm
• height =4cm

10cm of iron weights =180g

Now,

cuboid =l × b × h

=8×6×4

=192 cm³

10cm³=180

=>1cm³=18g

so, weigh t of 192cm³=18 ×192

=3456