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las bases de un prisma recto son dos triangulos rectangulos cuyos catetos miden 1.5 cm y 1.8 cm, respectivamente, el prisma tiene una altura de 4.5cm. calcula su area total y volumen

User GeekToL
by
6.6k points

1 Answer

1 vote

Answer:

Part 1) The surface area is
SA=35.1\ cm^(2)

Part 2) The volume is equal to
V=12.15\ cm^(3)

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


SA=2B+Ph

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


B=(1.5)(1.8)=2.7\ cm^(2)

Find the perimeter of the base P


P=2*(1.5+1.8)=6.6\ cm

we have


h=4.5\ cm

substitute the values


SA=2(2.7)+(6.6)(4.5)=35.1\ cm^(2)

Part 2) Find the volume

The volume is equal to


V=Bh

where

B is the area of the base

h is the height of the prism

we have


B=2.7\ cm^(2)\\ h=4.5\ cm

substitute


V=(2.7)(4.5)=12.15\ cm^(3)

User Muesli
by
7.0k points