Question

Find the total surface area of a cube of length 9 cm?

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Answer 1

Answer:

TSA of cube = 6 × l²

TSA of cube = 6 × 9²

TSA of cube = 486 cm²

Answer 2

Given : The edge of cube is 9 cm .

Need To Find : Total Surface Area [ T.S.A ] of cube .

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⠀⠀⠀⠀⠀⠀⠀Finding Total Surface Area of Cube :

$\dag\:\:\frak{ As,\:We\:know\:that\::}\\\\\qquad\maltese\:\bf Total\:Surface\:Area\:of\:Cube \::$

$\qquad \dag\:\:\bigg\lgroup \sf{ T.S.A _{(Cube)} \:: 6\:a^2 }\bigg\rgroup$

⠀⠀⠀⠀⠀⠀⠀Here , a is the Edge of a cube & T.S.A is the Total Surface Area of Cube .

$\qquad \dashrightarrow \:\sf T.S.A _{(Cube)}\:=\: 6\:a^2 \:$

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}$

$\qquad \dashrightarrow \:\sf T.S.A _{(Cube)}\:=\: 6\:a^2 \:$

$\qquad \dashrightarrow \:\sf T.S.A _{(Cube)}\:=\: 6\:\times (9)^2\:$

$\qquad \dashrightarrow \:\sf T.S.A _{(Cube)}\:=\: 6\:\times 81\:$

$\qquad \dashrightarrow \:\sf T.S.A _{(Cube)}\:=\: 486\:cm^2 \:$

$\qquad \dashrightarrow \underline{\pmb{\purple{\: T.S.A \:_{(Cube)} \: = \:486\:cm^2 }} }\:\:\bigstar$

⠀⠀⠀⠀⠀$\therefore {\underline{ \sf \: Hence, \:Total \:Surface \:Area\:of\:Cube \:is\:\bf 486\:cm^2 \: }}$

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$\large {\boxed{\sf{\mid{\overline {\underline {\star More\:To\:know\::}}}\mid}}}$

$\qquad \leadsto \sf Area_{(Rectangle)} = Length \times Breadth$

$\qquad \leadsto \sf Perimeter _{(Rectangle)} = 2 (Length + Breadth)$

$\qquad \leadsto \sf Area_{(Square)} = Side \times Side$

$\qquad \leadsto \sf Perimeter _{(Square)} = 4 \times Side$

$\qquad \leadsto \sf Area_{(Trapezium)} = \dfrac{1}{2} \times Height \times (a + b )$

$\qquad \leadsto \sf Area_{(Parallelogram)} = Base \times Height$

$\qquad \leadsto \sf Area_{(Triangle)} = \dfrac{1}{2} \times Base \times Height$

$\qquad \leadsto \sf Area_{(Rhombus)} = \dfrac{1}{2} \times Diagonal _{1}\times Diagonal_{2}$

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