A triangular prism is shown. a cylinder is cut out of the center of the prism. the triangular base has side lengths of 14 and 10
units. the heights of both the cylinder and prism are 8 units. the cylinder has a diameter of 5 units. which expression represents the volume, in cubic units, of the shaded region of the composite figure? one-half(14)(10)(8) – π(2.52)(8) one-half(14)(10)(8) π(2.52)(8) one-third (one-half)(10)(8)(14) – π(2.52)(8) one-third (one-half)(10)(8)(14) π(2.52)(8)
The expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).
<h3>Expression</h3>
Given:
Base side length=14 and 10 units
Height=8 units
Diameter=5 units
Hence:
Expression= 1-( half 14)(10)(8) - π(2.52)(8)
Expression=1-(7) (10)(8) - π(2.52)(8)
Expression=1- (560)- 63.33
Expression=-559-63.33
Expression=-622.33
Therefore the expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).
