The width of a box is one third of its length. the height of the box is one third of its width. if the length of the box is 27cm, what is the volume of the box?

a. 81cm³

b. 162cm³

c. 243cm³

d. 729cm³

729cm^3. this is because the equation is 1/3 (27) x 1/9 (27) x 27=729

d) 729cm^3

Step-by-step explanation:

Length = 27cm

Width = 1/3 of length

= 1/3 of 27cm = 1/3 * 27cm = 9cm

Height = 1/3 of width

= 1/3 of 9cm = 1/3 * 9cm = 3cm

Thus, length = 27cm; width = 9cm; height = 3cm

Hence, volume = length * width * height

= 27cm * 9cm * 3cm

= 729cm^3