Question

the volume of a cube can be found by multiplying its...
length, width, and height.
area, depth, and base.
base, height, and area.
length, width, and area.

Explanation:

Step1: Recall the volume formula for a cube

The volume \( V \) of a cube is given by \( V = s\times s\times s\), where \( s \) is the side - length. Since in a cube, length \( l=s \), width \( w = s\), and height \( h=s \), the volume formula can also be written as \( V=l\times w\times h\).

Step2: Analyze each option

• Option 1 (length, width, and height):

Since \( V = l\times w\times h\) for a cube (where \( l = w=h\)), this is the correct formula for the volume of a cube.

• Option 2 (area, depth, and base):

The terms “area”, “depth”, and “base” are not the standard dimensions used to calculate the volume of a cube. Volume is a three - dimensional measure calculated from linear dimensions (length, width, height), not from area (a two - dimensional measure) and other non - standard terms.

• Option 3 (base, height, and area):

Again, using “area” (a two - dimensional measure) along with “base” and “height” (linear measures) is incorrect for calculating the volume of a cube. The volume formula for a cube is based on three linear dimensions.

• Option 4 (length, width, and area):

Using “area” (a two - dimensional measure) along with “length” and “width” (linear measures) is wrong. The volume of a cube requires three linear multiplications.

Answer:

length, width, and height.