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Naya [18.7K]
2 years ago
9

Las bases de un prisma recto son dos triangulos rectangulos cuyos catetos miden 1.5 cm y 1.8 cm, respectivamente, el prisma tien

e una altura de 4.5cm. calcula su area total y volumen
Mathematics
1 answer:
nydimaria [60]2 years ago
5 0

Answer:

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

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

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

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

<em>Find the area of the base B</em>

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

<em>Find the perimeter of the base P</em>

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}

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