Question

The volume of a cube is 343 cm. Find its surface area.​

Answer 1

Answer:

area will be 294cm

Step-by-step explanation:

it is the correct answer

Answer 2

Answer:

Given :-

• The volume of a cube is 343 cm³.

To Find :-

• What is the surface area of a cube.

Solution :-

First, we have to find the side of a cube :

Let,

$\mapsto \bf Side_{(Cube)} =\: a\: cm$

Given :

• Volume of Cube = 343 cm³

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{Volume_{(Cube)} =\: a^3}}$

where,

• a = Side Of Cube

So,

$\implies \bf Volume_{(Cube)} =\: a^3$

$\implies \sf 343 =\: a^3$

$\implies \sf \sqrt[3]{343} =\: a$

$\implies \sf 7 =\: a$

$\implies \sf\bold{a =\: 7}$

Hence, the required side of a cube is :

$\dashrightarrow \sf Side_{(Cube)} =\: a^3$

$\dashrightarrow \sf\bold{\underline{Side_{(Cube)} =\: 7\: cm}}$

Now, we have to find the surface area of a cube :

Given :

• Side of Cube = 7 cm

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{Surface\: Area_{(Cube)} =\: 6a^2}}$

where,

• a = Side Of Cube

So,

$\implies \bf Surface\: Area_{(Cube)} =\: 6a^2$

$\implies \sf Surface\: Area_{(Cube)} =\: 6 \times (7)^2$

$\implies \sf Surface\: Area_{(Cube)} =\: 6 \times (7 \times 7)$

$\implies \sf Surface\: Area_{(Cube)} =\: 6 \times 49$

$\implies \sf\bold{\underline{Surface\: Area_{(Cube)} =\: 294\: cm^2}}$

$\therefore$ The surface area of a cube is 294 cm² .