Question

write and solve an equation to find the width of a box if its volume is 96 cubic centimeters, the length is 6 and the height is 4. then find its surface area

Answer 1

$V=w\times l\times h\\\\V=96cm^3;\ l=6cm;\ h=4cm;\ l=?\\\\w\times 6\times4=96\\24w=96\ \ \ \ |divide\ both\ sides\ by\ 24\\w=4\ (cm)\\\\Surface\ area:A_S=2\times (w\times l+w\times h+l\times h)\\\\A_S=2\times (4\times 6+4\times 4+6\times 4)=2\times (24+16+24)=2\times 64=128\ (cm^2)$