Question

measuring volume (continued)

1. what is the volume of each structure?

a)

b)

c)

1. suppose you are trying to build many different cube structures. do you think you could build more structures with a volume of 4 cubes or with a volume of 8 cubes? how do you know?

Explanation:

Step1: Count cubes in a)

Top row: 3 cubes; bottom column: 3 cubes. Total = 3+3=6.

Step2: Count cubes in b)

Top column: 3 cubes; middle layer: 3 cubes; bottom layer: 6 cubes. Total =3+3+6=12.

Step3: Count cubes in c)

Top column: 3 cubes; middle layer: 3 cubes; bottom layer:5 cubes. Total=3+3+5=11.

Step4: Compare structure numbers

More cubes mean more combinations. 8 cubes >4 cubes.

Answer:

a) 6
b) 12
c) 11
You could build more structures with a volume of 8 cubes because more cubes allow for more combinations of arrangements.