Question

If two mice are exactly the same shape, but mouse B is twice the length of mouse A, which of the following statements is true?

A) Mouse B has four × the volume of Mouse A.
B) Mouse B has twice the volume of Mouse A.
C) Mouse B has eight × the volume of Mouse A.
D) Mouse B has half the volume of Mouse A.

Answer 1

Mouse B has eight times the volume of Mouse A.

Step-by-step explanation:

To determine the relationship between the volumes of mouse A and mouse B, we need to compare their dimensions. Since mouse B is twice the length of mouse A, its dimensions are doubled. The volume of a three-dimensional object, such as a mouse, is proportional to the cube of its linear dimensions. If mouse B is twice the length of mouse A, then its volume is given by

The volume of a three-dimensional object, such as a mouse, is proportional to the cube of its linear dimensions. If mouse B is twice the length of mouse A, then its volume is given by

2 raised3 =8 times the volume of mouse A. Assuming that the mice are the same shape, we can find the ratio of their volumes by cubing the ratio of their lengths. Therefore, the correct statement is: Mouse B has eight times the volume of Mouse A.