Question

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)

Answer 1

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).

Expression

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).

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Answer 2

Answer:

A

Step-by-step explanation:

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