Question

Find the volume in cubic inches of the composite solid below which consists of a rectangular prims box that has cube shape cut out of the center of the box . All measurements shown are in inches.4,6,8,6

Answer 1

Answer:

The answer is "224".

Explanation:

Given:

Length (L) = 8 inches

Width (W) = 6 inches

Height (H)= 6 inches

Formula:

$Volume = length \times width \times height$

             $=8 \times 6 \times 6\\\\= 288 \ \ \text{cubic inches}$

The cube side is cut out length = 4 inches

The cube cut out volume = $a^3$

                                          $= 4^3 \\\\ = 64$

calculating the volume of the composite solid:

$= 288 - 64\\\\= 224 \ \ \text{cubic inches}$