Question

the volume of cube is 1000cm3 . find its total surface srea

Answer 1

Answer:

Volume of a cube = side

3

=1000cm

3

=> side =

3

1000

=10 cm

Total surface area of a cube of edge a =6a

2

So, the total surface area of the cube of edge a =10 cm =6(10)

2

=600cm^2

Step-by-step explanation:

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Answer 2

Given,

The volume of cube = $100cm^{3}$

To find,

The total surface area of the given cube.

Solution,

In order to solve the question easily and correctly, we can follow the given steps.

From the knowledge, we have of this chapter in Mathematics we know that,

The volume of a cube = $side^{3}$

As we already know the volume,

The volume of a cube = $side^{3}$ = $100cm^{3}$

From this, we can easily calculate the side,

$side^{3}$ = $100cm^{3}$

$side=\sqrt[3]{1000}$

= 10cm

Thus, we calculated the side of the cube to be 10cm.

We know the formula for the total surface area (T.S.A) of the cube to be,

T.S.A of a cube with side $a$ = $6a^{2}$

Now,

The T.S.A of this cube:

= $6a^{2}$

= $6(10)^{2}$

= 6 × 100

=  $600cm^{2}$

Hence, the total surface area of the cube is $600cm^{2}$