1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches, what is the surface area and volume of the cube?

Show ur work plz.

Respuesta :

Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube:  [tex]V=s^3\\[/tex] (s - side length)

Formula for Surface Area of a Cube: [tex]SA=6s^2[/tex] (s- side length)

For Cube 1:

The side length's 15 inches.

Find the volume:

[tex]V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}[/tex]

The volume of cube one is 3375in³.

Find the surface area:

[tex]SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}[/tex]

The surface area of cube 1 is 1350in².

For Cube 2:

The side length's 8 inches.

Find the volume:

[tex]V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}[/tex]

The volume of cube two is 512in³.

Find the surface area:

[tex]SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}[/tex]

The surface area of cube 2 is 384in².

Brainilest Appreciated.