Question

find the volume of this object. use 3 for $pi$. volume of a cube v = $ell$wh volume of a sphere v = $\frac{4}{3}pi r^{3}$ 12 ft 12 ft 12 ft 7 ft v $approx$ ? ft$^{3}$

Explanation:

Step1: Calculate volume of cube

For a cube with side - length $a = 12$ ft, using the formula $V_{cube}=a\times a\times a=a^{3}$, we have $V_{cube}=12\times12\times12 = 1728$ ft³.

Step2: Calculate volume of sphere

The radius of the sphere $r = 7$ ft. Using the formula $V_{sphere}=\frac{4}{3}\pi r^{3}$ and substituting $\pi = 3$, we get $V_{sphere}=\frac{4}{3}\times3\times7^{3}=4\times7^{3}=4\times343 = 1372$ ft³.

Step3: Calculate total volume

The total volume of the object $V = V_{cube}+V_{sphere}$. So $V=1728 + 1372=3100$ ft³.

Answer:

$3100$