Given:
Composite figure
To find:
The volume of the composite figure.
Solution:
The figure is splitted into two shapes.
One is rectangular pyramid and the other is rectangular prism.
Rectangular pyramid:
Length = 8
Width = 6
Height = 10 - 4 = 6
Volume of rectangular pyramid = [tex]\frac{1}{3} lbh[/tex]
Volume of rectangular pyramid [tex]=\frac{1}{3} (8)(6)(6)[/tex]
Rectangular prism:
Length = 8
Width = 6
Height = 4
Volume of rectangular prism = length × width × height
= 8 × 6 × 4
Volume of rectangular prism = (8)(6)(4)
Volume of figure = Volume of pyramid + volume of prism
[tex]=\frac{1}{3} (8)(6)(6)+(8)(6)(4)[/tex]
The volume of the composite figure is [tex]\frac{1}{3} (8)(6)(6)+(8)(6)(4)[/tex] cubic units.