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

The answer is "224".

Step-by-step explanation:

Given:

Length (L) = 8 inches

Width (W) = 6 inches

Height (H)= 6 inches

Formula:

`Volume = length * width * height\\\\`

`=8 * 6 * 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}`