Did you know?
Did you know that the volume of a cube can be found by multiplying the side length by itself three times? For example, Mustafa built two cubes using 1-cm cubes. The first cube has a side length of 7 cm, so its volume would be 7 cm x 7 cm x 7 cm = 343 cubic cm. The second cube has a side length of 8 cm, so its volume would be 8 cm x 8 cm x 8 cm = 512 cubic cm.
a. Problem: Mustafa wants to add more 1-cm cubes to the first cube he built, keeping the same width, but making it as tall as the second cube. How many additional 1-cm cubes should he add to match the volume of the second cube?
b. Solution: The first cube has a volume of 343 cubic cm, and the second cube has a volume of 512 cubic cm. By subtracting the volume of the first cube from the second cube, we get 512 cubic cm - 343 cubic cm = 169 cubic cm. Since each additional 1-cm cube has a volume of 1 cubic cm, Mustafa should add 169 additional 1-cm cubes to match the volume of the second cube.
