Question

Find the surface area and volume of a cube with sides of 5.5 cm each.

Answer 1

The equation to find the surface area of a cube is: 2*base+lateral area. The base of a cube is just the area of the square. So you would multiply 5.5*5.5. That would equal 30.25
The equation to find the lateral area is: perimeter*height. So you would add 5.5 four times since its a square. It would equal 22. Then you would multiply it by the height of which is also 5.5. 5.5*22=121.

Now that you have all the information just plug it back in the equation.(side note, because cubes are prisms you have two bases which is why you multiply them by two.) 2*30.25+121=181.5

your awnser is 185.5cm squared

Answer 2

`V= 166.375cm^3` and
`As = 181.5cm^2.`

Explanation:

First, let's calculate the volume. The volume of a cube is
`V= s^3` where s is the side. Then,

`V = (5.5cm)^3 = 166.375cm^3`

Now, the surface area will be the sum of the areas of each face. Each face of the cube is a square and the area of a square is
`A=s^2`, also we know that the cube has 6 faces, then the surface area of the cube will be

`As = 6*s^2`, so

`As = 6*(5.5cm)^2`

`As = 6*30.25cm^2`

`As = 181.5cm^2.`