Math, asked by mangulu7802, 17 days ago

For a cube with lateral surface area as 400 cm², find the area of a face.​

Answers

Answered by lol1029
1

Answer:

100 cm²

Step-by-step explanation:

LSA = 400 cm² = 4a²

=> 4a² = 400

=> a² = 400/4 = 100 cm²

Answered by fahims8080
1

Answer:

Area of face = 600cm^{2}

Step-by-step explanation:

According to the information provided in the question it is given as

For a cube with lateral surface area= 400 cm²

We need to find  area of a face.​

(The surface area of a cube = 6a^{2} )

Where (a) is the length of the side of each edge of the cube.

AS all sides of a cube are equal

(a) is just the length of one side of a cube.

The lateral area of a cube is the total area covered by the lateral or side surfaces of a cube.

The formula to calculate the lateral surface area of a cube is given as, (Lateral surface area = 4a^{2} )

Where, 'a' is the edge length of the cube.

Now by applying the formula of lateral surface area we get the value of a

Lateral surface area = 4a^{2}

                          [tex]400= 4a^{2} \\ a^{2} =\frac{400}{4} \\ a^{2} =100\\ a=\sqrt{100} \\ a=10cm[/tex]

Now by the value of a we can finding the value of area of face

Surface area of a cube = 6a^{2}

                                  [tex]SA =6a^{2} \\ SA =6\times 10\times 10\\ SA =6\times 100\\ SA = 600 cm^{2} [/tex]

Hence area of face is 600cm^{2}

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