Question

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic centimeters.

(Full question above)

Answer 1

96 cubic centimeters

Explanation:

The formula of a volume of a rectangular prism:

`V=l\cdot w\cdot h`

l - length

w - width

h - height

We have:

Bigg prism

`l=3cm,\ w=3cm,\ h=12cm`

`V_B=(3)(3)(12)=108\ cm^3`

Small prism:

`l=1cm,\ w=1cm,\ h=12cm`

`V_S=(1)(1)(12)=12\ cm^3`

The volume of the solid:

`V=V_B-V_S\\\\V=108-12=96\ cm^3`

Answer 2

Answer: 96 cubic

Step-by-step explanation: vol of rectangular prism = length * breadth * height

Vol(rectangular prism - small rect prism)=

108-12= 96