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( a) Find the lateral area (in square meters) of the prism.

(b) Find the total area (in square meters) of the prism. (Round your answer to three decimal places.)
(c) Find the volume (in cubic meters) of the prism. (Round your answer to three decimal places.)

( a) Find the lateral area (in square meters) of the prism. (b) Find the total area-example-1

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Answer:

( a) Find the lateral area (in square meters) of the prism.

answer:

the lateral area=perimeter of triangle ×height=

(4+5+6)×8=120m²

(b) Find the total area (in square meters) of the prism. (Round your answer to three decimal places.)

answer:

total surface area=lateral surface area +2crossed section area=120+2×(1/2×4×5) =120+20=140

(c) Find the volume (in cubic meters) of the prism. answer:

volume of prism=area of base×height=1/2×4×5×8=80m³

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