Question

If the volume of a cube is
2744 m3 then its area is
(1) 1096 m2
(2) 1396 m2
(3) 1176 m2
(4) 1296 m2​

Answer 1

Answer:

The length is 14 and the area is 196 cm².

Step-by-step explanation:

Find the length:

volume = length³

length³ = 2744

length = 14 cm

Find the area of one side:

Area = length x length

Area = 14 x 14

Area = 196 cm²

Answer: The length is 14 and the area is 196 cm².

Answer 2

Question :

If the volume of a cube is 2744 m³ then its total surface area is  

Formulas Used :

• Volume of a Cube = a³

• Total Surface Area of a Cube = 6a²

• Lateral Surface Area of a Cube = 4a²

Solution :

• Volume of a Cube is 2744m³

$a^3=2744\\\\\\=(2^3\times7^3)\\\\\\\to a=(2\times7)\\\\\\=14m$

• Side of the cube = 14 m

• Total Surface Area of a Cube = 6a²

$6a^2=6(14)^2\\\\\\=6\times14\times14\\\\\\=1176m^2$

• Lateral Surface Area of a Cube = 4a²

$4a^2=4(14)^2\\\\\\=4\times14\times14\\\\\\=784m^2$

Answer :

Option 3

The Total Surface Area of the Cube is 1176m²

The Lateral Surface Area of the Cube is 784m²

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