Question

One cube measures 2 centimeters on an edge and another measures 6 centimeters on an edge. What is the ratio of the volume of the small cube to the volume of the large cube? (TDF.G.14.a) O A. 1:3 B. 1:27 © C. 1:9 D. 27:1

Answer 1

Option B is correct.

1 : 27

Step-by-step explanation

The volume of a cube is given as

Volume = L³

where L = length of a side or edge of the cube

For the small cube, L = 2 cm

Volume = 2³ = 8 cm³

For the big cube, L = 6 cm

Volume = 6³ = 216 cm³

Ratio of the volume of the small cube to the volume of the large cube

= 8 : 216

Divide through by 8

Ratio of the volume of the small cube to the volume of the large cube

= (8/8) : (216/8)

= 1 : 27

Hope this Helps!!!