Question

Find the total surface area of a cube whose volume is 343 cm cube

Answer 1

The volume of a cube is SIDE x SIDE x SIDE. 

7 x 7 x 7 = 343, so each side is 7 cm. 

The area of each side is SIDE x SIDE, so the area of each side is 
7 x 7 = 49 cm squared. 

Since there are six sides to a cube, the total area of the cube is: 

6 x 49 = 294 cm squared. 

Answer 2

Answer:

The total surface area of a cube =

$294 \: cm {}^{2}$

Step-by-step explanation:

Let the length of each edge of the cube a cm.

Then, its volume = $(a {}^{3}) \: cm {}^{3}$

∴ ${a}^{3} = 343 =7 \times 7 \times 7$⇒a = 7 cm.

So, the length of each edge of the cube = 7 cm

Total surface area of the cube =

$(6a {}^{2}) sq units</p><p>= [tex](6 \times 7 \times 7)cm {}^{2} = 294 {cm}^{2}$