For a cube with lateral surface area as 400 cm², find the area of a face.
Answers
Answer:
100 cm²
Step-by-step explanation:
LSA = 400 cm² = 4a²
=> 4a² = 400
=> a² = 400/4 = 100 cm²
Answer:
Area of face = 600
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 = )
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 = )
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 =
[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 =
[tex]SA =6a^{2} \\ SA =6\times 10\times 10\\ SA =6\times 100\\ SA = 600 cm^{2} [/tex]
Hence area of face is 600