Question

Please help me with this. Name the prism/cylinder and find the areas and volume.

Answer 1

Name: Cube

Shape of Base: Square

LA: 64

TA: 96

V: 64

Explanation:

LA, or the Lateral Area of a cube is very simple to calculate. We must take the area of one side of the cube, and multiply it by 4. In this case, we know the length of our cube's side to be 4, so:

`LA = 4s^(2)`

`LA = 4(4)^(2)`

LA = 16 x 4 = 32

TA, or Total Area, is also simple to find. Again, the side lengths of our cube are 4, so we just need to plug that value into "a" for the formula:

`A = 6a^(2) = 6(4)^(2)`

TA = 6 x 16 = 96