Question

write the formula to find the volume of a cube, show the length, width, and height, and then solve.
a. formula for finding the volume of a cube:

b. length = __ width = height = __

c. write the volume as an exponent and then solve.
__ = __

Explanation:

Step1: State cube volume formula

The volume \( V \) of a cube is given by the product of its length, width, and height. For a cube, all three dimensions are equal, so:
\( V = s^3 \)
where \( s \) is the side length of the cube.

Step2: Identify cube dimensions

From the diagram, the side length of the cube is 8, so:
Length = 8, Width = 8, Height = 8

Step3: Write volume as exponent, solve

Substitute \( s=8 \) into the volume formula:
\( V = 8^3 \)
Calculate the value:
\( 8^3 = 8 \times 8 \times 8 = 512 \)

Answer:

a. \( V = s^3 \) (where \( s \) = side length)
b. Length = 8, Width = 8, Height = 8
c. \( V = 8^3 = 512 \)