Answer:
Part 1) The surface area is [tex]SA=35.1\ cm^{2}[/tex]
Part 2) The volume is equal to [tex]V=12.15\ cm^{3}[/tex]
Step-by-step explanation:
The question in English is
The bases of a right prism are two rectangle triangles whose legs measure 1.5 cm and 1.8 cm, respectively, the prism has a height of 4.5 cm. calculates its total surface area and volume
Part 1) Find the surface area
The surface area is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
Find the area of the base B
[tex]B=(1.5)(1.8)=2.7\ cm^{2}[/tex]
Find the perimeter of the base P
[tex]P=2*(1.5+1.8)=6.6\ cm[/tex]
we have
[tex]h=4.5\ cm[/tex]
substitute the values
[tex]SA=2(2.7)+(6.6)(4.5)=35.1\ cm^{2}[/tex]
Part 2) Find the volume
The volume is equal to
[tex]V=Bh[/tex]
where
B is the area of the base
h is the height of the prism
we have
[tex]B=2.7\ cm^{2}[/tex]
[tex]h=4.5\ cm[/tex]
substitute
[tex]V=(2.7)(4.5)=12.15\ cm^{3}[/tex]
