Answer:
The volume of rectangular prism is [tex]\frac{24}{105}[/tex] inches³
Step-by-step explanation:
Given as :
The Length of rectangular prism = L = [tex]\frac{2}{3}[/tex] inches
The Breadth of rectangular prism = B = [tex]\frac{3}{5}[/tex] inches
The Height of rectangular prism = H = [tex]\frac{4}{7}[/tex] inches
Let The volume of rectangular prism = V inches³
A rectangular prism is a 3-D figure with 6 faces
Now, From formula of rectangular prism
Volume = Length × width × height
Or, V = L × B × H
Or, V = [tex]\frac{2}{3}[/tex] inches × [tex]\frac{3}{5}[/tex] inches × [tex]\frac{4}{7}[/tex] inches
or, V = [tex]\frac{2\times 3\times 4}{3\times 5\times 7}[/tex] inches³
or, V = [tex]\frac{24}{105}[/tex] inches³
So, The volume of rectangular prism = V = [tex]\frac{24}{105}[/tex] inches³
Hence The volume of rectangular prism is [tex]\frac{24}{105}[/tex] inches³ Answer
