Question

A rectangular tank is 3.5 m long and 0.75m deep. Find the width of the tank if its volume is 4.2 cubic metre.

Answer 1

Step-by-step explanation:

volume = l×b×h

4.2=3.5×b×0.75

4.2=2.625×b

b=4.2/2.625

b=1.6 m

Answer 2

Given : A rectangular tank is 3.5 m long and 0.75m deep and its Volume is 4.2 m³ .

Need To Find : Width of the tank .

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❍ Let's Consider Width of Rectangular tank be x .

⠀⠀⠀⠀⠀Finding Width of Rectangular tank using the formula is given by :

⠀⠀⠀⠀⠀$\underline{\boxed{\sf{Volume _{(Cuboid )} \:=l \times w \times h\:}}}$

⠀⠀⠀⠀⠀Here l is the length of Rectangular tank in metres , w is the Width of Rectangular Tank in metres & h is the Height of Rectangular tank in metres and as we have given with the Volume of Rectangular Tank is 4.2 m³ .

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ 4.2 m^{3} = 3.5 \times 0.75 \times x }}$

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ 4.2 m^{3} = 3.5 \times 0.75 \times x }}$

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ 4.2 m^{3} = 2.625 \times x }}$

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ \dfrac{\cancel{4.2}}{\cancel{2.625}} = x }}$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  x = 1.6\: m}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\underline {\therefore\:{ \mathrm {  Width \:of\:Rectangular \:Tank\:is\:1.6\: m}}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\qquad\quad\boxed{\bf{\mid{\overline{\underline{\large{\bigstar\: Verification \: :}}}}}\mid}$

As , We know that ,

⠀⠀⠀⠀⠀$\underline{\boxed{\sf{Volume _{(Cuboid )} \:=l \times w \times h\:}}}$

⠀⠀⠀⠀⠀Here l is the length of Rectangular tank in metres , w is the Width of Rectangular Tank in metres & h is the Height of Rectangular tank in metres and as we have given with the Volume of Rectangular Tank is 4.2 m³ .

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \:and\:Found \:Values \::}}$

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ 4.2 m^{3} = 3.5 \times 0.75 \times 1.6 }}$

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ 4.2 m^{3} = 2.625 \times 1.6 }}$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  4.2 m^{3} = 4.2\: m^{3}}}}}\:\bf{\bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\therefore {\sf{\bf{\underline { Hence \;Verified \;}}}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀