Question

Box Y has edges that are the length of the edges of box X

Box X

Box Y

Which statement is true?

O A. The volume of box Y is of the volume of box X

OB. The volume of box Y is

of the volume of box X

O c The volume of box Y is to of the volume of box X.

OD. The volume of box Y is of the volume of box X.

E. The volume of box Y is 256 of the volume of box X.

Answer 1

The volume of box Y is 1/64 of the volume of box X

Explanation:

Since. The edge of a box Y is 1/4 the lengtj of box X ;

The volume is 3 dimensional and each dimension of Y is 1/4th the dimension of X

The volume of Y will be (1/4)^3 the volume of Y

(1/4)^3 = 1/4 * 1/4 * 1/4 = 1/64

For instance, if edge of X = 8

Edge of Y which is 1/X ; edge Y = 1/4(8) = 2

Volume, X 8^3 = 512

Volume Y = 2^3 = 8

8/512 = 1 / 64