17) The breath of a room is twice its height and half its length. The volumeof the room is 512 m3. The length of the room isO 12 mO 14 mO 16 mO 18 m About the author Adalyn
Given =>Volume of the room = 512m^3 =>breadth (b) of the room = 2* height (h) => b = 2h=> h = 1/2*b =>breadth (b) of the room = 1/2 * length (l)=> b = 1/2*l=> l = 2*b Solution Volume of the room = l*b*h =>512 = 2b* b * 1/2 b=>512 = b* b * b=>512 = b^3=>b = 8 m The length of the room = 2b = 2*8 = 16 m Reply
[tex]{ \underline{ \underline{ \tt{ \huge{Question}}}}} : [/tex] The breath of a room is twice its height and half its length. The volume of the room is 512 m3. The length of the room is [tex]{ \underline{ \underline{ \tt{ \huge{To \: \: Find}}}}} : [/tex] Find the length of the room. [tex]{ \underline{ \underline{ \tt{ \huge{Given}}}}} : [/tex] The breath of a room is twice its height and half its length. The volume of the room is 512 m³. [tex]{ \underline{ \underline{ \tt{ \huge{Solution}}}}} : [/tex] Let the height be ” x ” Breadth is ” 2x “ Length is ” 4x “ Volume is ” 512 m³ “ [tex]{ \implies{ \tt{Volume = Length \times Breadth \times Height}}}[/tex] [tex]{ \implies{ \tt{512 = 4x \times 2x \times x}}}[/tex] [tex]{ \implies{ \tt{512 = { 8x }^{ 3 } }}}[/tex] [tex]{ \implies{ \tt{ { x }^{ 3 } = \cancel\dfrac { 512 } { 8 } }}}[/tex] [tex]{ \implies{ \tt{ { x }^{ 3 } = 64}}}[/tex] [tex]{ \implies{ \tt{a = 2}}}[/tex] Hence , Length is 4x = 16 m Breadth is 2x = 8 m Height is x = 4 m Reply
Given
=>Volume of the room = 512m^3
=>breadth (b) of the room = 2* height (h)
=> b = 2h
=> h = 1/2*b
=>breadth (b) of the room = 1/2 * length (l)
=> b = 1/2*l
=> l = 2*b
Solution
Volume of the room = l*b*h
=>512 = 2b* b * 1/2 b
=>512 = b* b * b
=>512 = b^3
=>b = 8 m
The length of the room = 2b
= 2*8
= 16 m
[tex]{ \underline{ \underline{ \tt{ \huge{Question}}}}} : [/tex]
[tex]{ \underline{ \underline{ \tt{ \huge{To \: \: Find}}}}} : [/tex]
[tex]{ \underline{ \underline{ \tt{ \huge{Given}}}}} : [/tex]
[tex]{ \underline{ \underline{ \tt{ \huge{Solution}}}}} : [/tex]
[tex]{ \implies{ \tt{Volume = Length \times Breadth \times Height}}}[/tex]
[tex]{ \implies{ \tt{512 = 4x \times 2x \times x}}}[/tex]
[tex]{ \implies{ \tt{512 = { 8x }^{ 3 } }}}[/tex]
[tex]{ \implies{ \tt{ { x }^{ 3 } = \cancel\dfrac { 512 } { 8 } }}}[/tex]
[tex]{ \implies{ \tt{ { x }^{ 3 } = 64}}}[/tex]
[tex]{ \implies{ \tt{a = 2}}}[/tex]
Hence ,