Question

find the total surface area of a cube whose curved surface area is 324cm²​

Answer 1

Answer:

The total surface area of a cube with a curved surface area 324 $cm^{2}$ is $486 cm^{2}$

Step-by-step explanation:

Given

The curved surface area of the cube = 324 $cm^{2}$

The curved surface area of a cube =4$x^{2}$

Where x is the side of the cube

That is 324 = 4 $x^{2}$

$x^{2}=\frac{324}{4}\\\\x= \sqrt{81} = 9 cm$

Therefore the side of the given cube is 9cm

The total surface area of a cube = 6$x^{2}$

Where x is the side of the given cube

Here x= 9 cm

So the total surface area of the given cube $= 6*9^{2} \\\\= 6*81\\\\= 486 cm^{2}$

Hence the total surface area of the given cube is $486 cm^{2}$