Question

the area of one face of a cube is 25cm2 . find the surface area and the volume of the cube​

Answer 1

$\bigstar$ Given:-    

• → Area of one face of a cube = 25 cm²

$\bigstar$ To find:-    

• → The surface area of the cube

• → The volume of the cube

$\bigstar$ Solution:-  

$\qquad\sf{:\implies\:Area\:_{(CUBE)}\:=\:(\:Side\:)^{2}}$

$\qquad\sf{:\implies\:25\:cm^{2}\:=\:(\:Side\:)^{2}}$

$\qquad\sf{:\implies\:\sqrt{25\:cm}\:=\:\sqrt{\:(Side\:)^{2}}}$

$\qquad\sf{:\implies\:Side\:=\:5\:cm}$

               _____________

☯ The total surface area:

$\qquad\sf{:\implies\:Total\:surface\:area\:_{(CUBE)}\:=\:6\:(\:side\:)^{2}\:}$

$\qquad\sf{:\implies\:Total\:surface\:area\:_{(CUBE)}\:=\:6\:(\:5\:)^{2}\:}$

$\qquad\sf{:\implies\:Total\:surface\:area\:_{(CUBE)}\:=\:6\:\times\:25\:}$

$\qquad\sf{:\implies\:Total\:surface\:area\:_{(CUBE)}\:=\:150\:cm^{2}}$

. ° . The total surface area of a cube is 150 cm².

              ___________

☯ The volume of a cube:

$\qquad\sf{:\implies\:Volume\:_{(CUBE)}\:=\:(side)^{3}}$

$\qquad\sf{:\implies\:Volume\:_{(CUBE)}\:=\:(5)^{3}}$

$\qquad\sf{:\implies\:Volume\:_{(CUBE)}\:=\:5\:\times\:5\:\times\:5}$

$\qquad\sf{:\implies\:Volume\:_{(CUBE)}\:=\:125\:cm^{3}}$

. ° . The volume of the cube is 125 cm³.

                      ______________

Answer 2

Answer:

★ Given:-

★ Given:- → Area of one face of a cube = 25 cm²

★ Given:- → Area of one face of a cube = 25 cm²To find:-

★ Given:- → Area of one face of a cube = 25 cm²To find:- → The surface area of the cube

★ Given:- → Area of one face of a cube = 25 cm²To find:- → The surface area of the cube→ The volume of the cube

★ Given:- → Area of one face of a cube = 25 cm²To find:- → The surface area of the cube→ The volume of the cube☯ The total surface area:

⟹Totalsurfacearea

=6(side)

=6(side) 2

=6(side) 2 ⟹Totalsurfacearea

=6(side) 2 ⟹Totalsurfacearea (CUBE)

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5)

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE)

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25⟹Totalsurfacearea

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25⟹Totalsurfacearea (CUBE)

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25⟹Totalsurfacearea (CUBE) =150cm

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25⟹Totalsurfacearea (CUBE) =150cm 2

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25⟹Totalsurfacearea (CUBE) =150cm 2

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25⟹Totalsurfacearea (CUBE) =150cm 2 . ° . The total surface area of a cube is 150 cm².

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25⟹Totalsurfacearea (CUBE) =150cm 2 . ° . The total surface area of a cube is 150 cm².

=6(side) 2 ⟹Totalsurfacearea (CUBE) =6(5) 2 ⟹Totalsurfacearea (CUBE) =6×25⟹Totalsurfacearea (CUBE) =150cm 2 . ° . The total surface area of a cube is 150 cm². ☯ The volume of a cube will be:

}}:⟹Volume

}}:⟹Volume (CUBE)

}}:⟹Volume (CUBE) =(side)

}}:⟹Volume (CUBE) =(side) 3

}}:⟹Volume (CUBE) =(side) 3

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE)

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5)

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume (CUBE)

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume (CUBE) =5×5×5

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume (CUBE) =5×5×5⟹Volume

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume (CUBE) =5×5×5⟹Volume (CUBE)

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume (CUBE) =5×5×5⟹Volume (CUBE) =125cm

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume (CUBE) =5×5×5⟹Volume (CUBE) =125cm 3

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume (CUBE) =5×5×5⟹Volume (CUBE) =125cm 3

}}:⟹Volume (CUBE) =(side) 3 ⟹Volume (CUBE) =(5) 3 }:⟹Volume (CUBE) =5×5×5⟹Volume (CUBE) =125cm 3 . ° . The volume of the cube is 125 cm³

Step-by-step explanation:

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