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PERIMETROS AREAS AND VOLUMES 2 ESO

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Calculate the area and perimeter of this rhombus:

D = 22 cm

d = 11 cm

a)

A=121  cm2  ; P=33 cmA=121\ \ cm^2\ \ ;\ P=33\ cm

b)

A=16,5 cm2   ; P=33 cmA=16,5\ cm^2\ \ \ ;\ P=33\ cm

c)

A=121 cm2   ; P=49,2 cmA=121\ cm^2\ \ \ ;\ P=49,2\ cm

2.

Calculate the perimeter and area of this regular pentagon:

side= 8 m

radius= 7 m

a)

P= 40 m  ;  A=114,8 m2P=\ 40\ m\ \ ;\ \ A=114,8\ m^2

b)

P= 40 m  ;  A=161,2 cm2  P=\ 40\ m\ \ ;\ \ A=161,2\ cm^2\ \

c)

P= 48 m   ;  A=137,76 m2P=\ 48\ m\ \ \ ;\ \ A=137,76\ m^2

d)

P= 40 m   ;  A=140 m2P=\ 40\ m\ \ \ ;\ \ A=140\ m^2

3.

Calculate the perimeter and area of this right trapezium:

Height= 10 Hm

B= 20 Hm

b= 15 Hm

a)

P=56,18 Hm   ;  A=175 Hm2P=56,18\ Hm\ \ \ ;\ \ A=175\ Hm^2

b)

P= 45 Hm  ;  A=175 Hm2P=\ 45\ Hm\ \ ;\ \ A=175\ Hm^2

c)

P= 55 Hm   ;  A=1500 Hm2P=\ 55\ Hm\ \ \ ;\ \ A=1500\ Hm^2

d)

P= 45 m   ;  A=200 Hm2P=\ 45\ m\ \ \ ;\ \ A=200\ Hm^2

4.

Calculate the area of this ring:

R= 12 mm

r= 7 mm

a)

298,45 mm2298,45\ mm^2

b)

606,33 mm2606,33\ mm^2

c)

298,45 mm298,45\ mm

d)

78,54 mm278,54\ mm^2

5.

Calculate the length of this arc:

r = 8 dm

α=80°\alpha=80\degree

a)

L=11,17 dmL=11,17\ dm

b)

L=50,27 dmL=50,27\ dm

c)

L=201,06  dm2L=201,06\ \ dm^2

d)

No se puede calcular

6.

Calculate the area and volume of this cone:

r = 8 dm

H =13 dm

a)

A=21 dm2  ;  V=104 dm3A=21\ dm^2\ \ ;\ \ V=104\ dm^3

b)

A=201,06 dm2  ;  V=871,27 dm3A=201,06\ dm^2\ \ ;\ \ V=871,27\ dm^3

c)

A=383,53 dm2; V=2613,81 dm3A=383,53\ dm^2;\ V=2613,81\ dm^3

d)

A=584,59 dm2  ;  V=871,27 dm3A=584,59\ dm^2\ \ ;\ \ V=871,27\ dm^3

7.

Calculate the area and volume of this sphere:

r = 11 dm

a)

No se puede calcular

b)

A=1520,53 dm2  ;  V=5575,28 dm3A=1520,53\ dm^2\ \ ;\ \ V=5575,28\ dm^3

c)

A=380,13 dm2  ;  V=4181,46 dm3A=380,13\ dm^2\ \ ;\ \ V=4181,46\ dm^3

d)

A=276 dm2  ;  V=138 dm3A=276\ dm^2\ \ ;\ \ V=138\ dm^3

8.

Calculate the area and volume of this quadrangular prism:

Basic edge (arista básica) = 35 cm

H (height) = 50 cm

a)

A=1225 cm2  ;  V=61250 cm3A=1225\ cm^2\ \ ;\ \ V=61250\ cm^3

b)

A=2975 cm2  ;  V=1750 cm3A=2975\ cm^2\ \ ;\ \ V=1750\ cm^3

c)

A=9450 cm2  ;  V=61250 cm3A=9450\ cm^2\ \ ;\ \ V=61250\ cm^3

9.

Calculate the area and volume of this quadrangular pyramid:

Basic edge (arista básica) = 14 m

H = 5 m

a)

A=196 m2  ;  V=326,67 m3A=196\ m^2\ \ ;\ \ V=326,67\ m^3

b)

A=436,8 m2  ;  V=326,67 m3A=436,8\ m^2\ \ ;\ \ V=326,67\ m^3

c)

A=240,8 m2  ;  V= 980 m3A=240,8\ m^2\ \ ;\ \ V=\ 980\ m^3

10.

Calculate the area and volume of this cilinder:

r = 5 cm

H = 15 cm

a)

A=175π cm2  ;  V=125π cm3A=175\pi\ cm^2\ \ ;\ \ V=125\pi\ cm^3

b)

A=200π cm2  ;  V=375π cm3A=200\pi\ cm^2\ \ ;\ \ V=375\pi\ cm^3

c)

A=175π cm2  ;  V=750π cm3A=175\pi\ cm^2\ \ ;\ \ V=750\pi\ cm^3