Question

Amanda and Mary each have a box of popcorn.
How much more popcorn does Amanda's box hold than Mary's box?
I need help I'm stuck

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Difference\:of\:popcorn=70\:cm^{3}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Length( l_{1}) = 10 \: cm \\ \\ \tt: \implies Breadth(b_{1}) = 10 \: cm\\\\\tt: \implies Height(h_{1}) = 13.5\: cm \\ \\ \tt: \implies Length( l_{2}) = 8 \: cm \\ \\ \tt: \implies Breadth(b_{2}) =8\: cm\\\\\tt: \implies Height(h_{2}) = 20 \: cm \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Difference\:between\:volume\: of \: their\:popcorn = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Volume\: of \: Amanda's\:box = l_{1} \times b_{1} \times h_{1} \\ \\ \tt: \implies Volume\: of \: Amanda's\:box = 10 \times 10\times 13.5 \\ \\ \green{\tt: \implies Volume\: of \: Amanda's\:box = 1350 \: {cm}^{3} } - - - - - (1)\\ \\ \bold{Similarly}$

$\tt: \implies Volume\: of \: Mary's\:box = l_{2} \times b_{2} \times h_{2} \\ \\ \tt: \implies Volume\: of \: Mary's\:box = 8 \times 8\times 20\\ \\ \green{\tt: \implies Volume\: of \: Mary's\:box = 1280 \: {cm}^{3} } - - - - - (2)\\ \\ \bold{Similarly}$

$\bold{For \: difference} \\ \tt: \implies Difference =Volume \: of \: (amanda \: box - mary \: box) \\ \\ \tt: \implies Difference =1350 - 1280 \\ \\ \green{\tt: \implies Difference =70 \: {cm}^{3}} \\ \\ \green{\tt \therefore Amanda \: has \: 70 \: {cm}^{2} \: more \: popcorn \: than \: mary}$