Question

Two shaded cubes are shown. 6 feet 4 feet 6 feet 4 feet 4 feet 6 feet Ben states that the combined volume of these two shaded cubes is equal to the volume of this cube. 10 feet Vo feet 10 feet Find the combined volume of the two shaded cubes, and use it to explain whether Ben is right or not. Ben is correct. Ben is not correct.

Answer 1

The volume of a cube is given by the formula:

$V=s^3$

Where

s is the side length of a cube

Combined Volume of two cubes

Now, let's find the combined volume of the cubes with side lengths shown:

$\begin{gathered} V=4^3+6^3 \\ V=64+216 \\ V=280 \end{gathered}$

Volume of larger cube

Plugging into the formula, we get:

$\begin{gathered} V=s^3 \\ V=10^3 \\ V=1000 \end{gathered}$

Thus, we clearly see that:

$280\neq1000$

Thus,

Ben isn't correct