MATH SOLVE

2 months ago

Q:
# 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.A solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it is shown. The rectangular prism is 20 centimeters long, 5 centimeters wide, and 5 centimeters high. The rectangular prism-shaped-hole is 20 centimeters long, 2 centimeters wide, and 2 centimeters high.

Accepted Solution

A:

The volume of the solid is 420 cm³Step-by-step explanation:The volume a rectangular prism is calculated as the product of its length, width and height.Mathematically, V=l*w*h where l is length of the prism, w is width and h is the heightGiven that the dimensions of the rectangular prism as; Length=20 cmWidth= 5 cmHeight = 5 cmV=20*5*5= 500 cm³ The rectangular prism shaped hole dimensions are;Length= 20 cmwidth= 2 cmHeight= 2 cmVolume= 20*2*2=80 cm³The volume of the solid will be: volume of rectangular prism-volume of the holeVolume= 500-80=420 cm³Learn MoreVolume of a rectangular prism : : Volume, rectangular prism, cubic centimeters#LearnwithBrainly