Question

Find the surface area and volume of a cubical water tank of side 90cm

Answer 1

Given:

For a cube,

Side =90 cm

To find:

Surface area and volume of the cube

Explanation:

$\sf side,a=90cm$

We know that

$\boxed{\sf volume \: of \: cube=a^3 \: cubic\: units }$

$\longrightarrow \: \sf \: v = {a}^{3} \\ \\ \longrightarrow \: \sf v = {90}^{3} \\ \\ \longrightarrow \: \boxed{\sf v = 729000 \: {cm}^{3} }$

$\boxed{\sf T.S.A=6a^2}$

putting in the values

$\longrightarrow \: \sf T.S.A=6(90)^2 \\ \\ \longrightarrow \: \sf T.S.A=6(8100) \\ \\ \longrightarrow \: \boxed{ \sf T.S.A=48600 {cm}^2}$

Extra information:

↔L.S.A of cube=4a² sq.units

↔L.S.A of cuboid =2h(l+b) sq.units

↔T.S.A of cuboid =2(lb+bh+lh) sq.units

↔Volume of cuboid=lbh cubic units

Answer 2

Answer:

Surface area =48600cm²

Volume of tank =729000cm³ = 729 liters

Step-by-step explanation:

Given---> -----------

Side of cubical water tank = 90 cm

To find --->

------------

Surface area and volume of cubical water tank

Solution--->

------------

Cubical tank has six equal faces whose areas are same

So surface area of cubical

tank=6(Edge)²

= 6 ( 90 )²

= 6 (8100 )

Surface area of tank = 48600 cm²

Now Volume of cubical tank = Edge³

Volume of cubical tank = (90 )³

= 729000 cm³

Now

1000cm³ = 1 liter

Volume of cubical tank = 729000/1000

= 729 liters

Additional information--->

-------------------------------------

1)Lateral surface area of cube= 4 edge²

2)Volume of cuboid = l × b × h

3)Total surface area of cuboid

= 2 ( l × b + b × h + l × h )

4) Lateral surface area of cuboid

= 2 (l + b )× h

5) Volume of cylinder = π r² h

6) Curved surface area of cylinder

= 2π r h

7) Total surface area of cylinder

= 2πr ( r + h )

8) Volume of cone = 1/3 π r² h

9) Curved surface area of cone = π r l

10)Total surface area of cone = π r (r +l)

11) l ² = r² + h ²

12) Volume of sphere = 4/3 π r³

13) Total surface area of sphere = 4π r²

14)Volume of hemisphere = 2/3 π r³

15) Curved surface area of hemisphere

= 2πr²

16) Total surface area of hemisphere

= 3π r²