( 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.

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.)

total surface area=lateral surface area +2crossed section area=120+2×(1/2×4×5) =120+10=130m²

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

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

you have 6 cupcakes

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this