Question

tamara stacked two cubes, as shown.
what is the total volume of the cubes?

• 1st cube volume:

$v = bh$
$v=(12)(12)(12)$

• 2nd cube volume:

$v = bh$
$v=(24)(24)(24)$
the total volume of the cubes is
□ cubic inches.

Explanation:

Step1: Calculate the volume of the first cube

The formula for the volume of a cube is \(V = s^3\) (where \(s\) is the side - length). For a cube with side - length \(s = 24\) inches, \(V_1=(24)(24)(24)=24^3 = 13824\) cubic inches.

Step2: Calculate the volume of the second cube

For a cube with side - length \(s = 12\) inches, using the volume formula \(V = s^3\), \(V_2=(12)(12)(12)=12^3=1728\) cubic inches.

Step3: Calculate the total volume

The total volume \(V = V_1 + V_2\). Substitute the values of \(V_1\) and \(V_2\): \(V=13824 + 1728=15552\) cubic inches.

Answer:

15552