Question

The volume of a rectangular solid is 192

cubic cm, the length is 8 cm, and the
width is 6 cm. Find the height.

Answer 1

`\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }`

`\large\underline{ \boxed{ \sf{✰\:Important\: point's }}}`

➢ Rectangular

• Having axes that meet each other with right angles.

`\rule{70mm}{2.9pt}`

`\large\underline{ \boxed{ \sf{ ✛\: Assumption \: ✛ }}}`

• Let the height (given to find ) be "x"

`\color{cyan}{\underline{ \boxed{ \sf{« \: volume \: of \: rectangular \: solid = lenght * breadth * height \:» }}}}`

➢ Things we know

• The volume of a rectangular solid = 192cm³
• length= 8cm
• width(breadth)=6cm

`\rule{70mm}{2.9pt}`

★ Now substitute value according to formula

`\sf{➛192 = 8 * 6 * x} \\ \sf{➛192 = 48 * x }\\ \sf{➛ \: (192)/(48) = x} \\ \sf{➛4 = x}`

➢ Hence "x" (height) of the Rectangular solid is of 4cm

`\rule{70mm}{2.9pt}`

`\boxed{\underline{ \boxed{ \sf{ ✛\: Height=4cm✓\: ✛ }}}}`

Hope it helps !