Question

For advertising display, a company makes a cereal box that is similar to the old box of cereal. But the dimensions of the new box are 7 times larger than the old box. How many times larger than the volume of the normal box is the volume of the advertising display box?

a. 7 times
b. 49 times
c. 21 times
d. 343 times

Answer 1

The volume of the new cereal box, with dimensions 7 times larger than the original, is 343 times greater than the original box's volume.

Step-by-step explanation:

The question is related to the concept of scaling three-dimensional objects and calculating volume. When the dimensions of a 3D object are scaled by a factor, the new volume is found by cubing that scale factor.

If the original volume is V, and the new dimensions are 7 times larger, then the new volume V' is given by:

V' = 7³ × V = 343 × V

Therefore, the volume is 343 times larger than that of the original cereal box.