review exercise 24 (subjective)

8/18/2019 Review Exercise 24 (Subjective)

1/7

Review Exercise 24

Subjective Questions

1. Find the surface area of the following cubes.

(a) (b)

2. Calculate the surface area of cuboids that have the following dimensions.

(a) Length = 8 cm, width = 5 cm and height = 4 cm

(b) Length = 4 cm, width = ! cm and height = " cm

(c) Length = #$ cm, width = 5 cm and height = $ cm

3. %& using ' ="

##, calculate the surface area of the following c&linders.

(a) (b) (c)

4. he diagram shows a &ramid with a

rectangular base ABCD such that AB = $ cm and

BC = 8 cm. M an N are the midoints of AB and BC .

*iven that AE = BE = CE = DE = + cm, EM = #

cm and EN = #.+" cm. Calculate the surface area

of the &ramid.

© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR1


2/7

Review Exercise 24

5. he circumference of the base of a right circular cone is +$.8 cm. f its slant height is

8 cm, calculate the total surface area of the cone. (-se ' ="

##)

6. sherical model of the earth has a radius of # cm. %& using ' ="

##, calculate the

surface area of the model.

7. he diagram shows a rectangular bo/ with a total surface area of 4"# cm #. Find the

length of the bo/.

8. n the diagram, the surface area of the rism is 048 cm#. Calculate the value of x.

9. he diagram shows a &ramid. f its surface area is 85.0 cm#, find the value of x.



3/7

Review Exercise 24

10. Co& and comlete the table below.

11.

n the diagram, H and S are two cubes such that the ratio of the length of sides ofcube H to that of cube S is 1 +. Calculate

(a) the volume of cube H , given that the volume of cube S is "#8 cm+.

(b) the ratio of the total surface area of cube H to that of cube S .

12. he curved surface area of a c&linder with radius 5 cm is 44$ cm#. Calculate

(a) the height of the c&linder.

(b) the total surface area of the c&linder.

(-se ' =

"

##)

13. n the diagram, the diameter of the base of the right circular cone is # cm.

Calculate

(a) the height of the cone.

(b) the total surface area of the cone.

(-se ' =+.4)

© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR

Base radius Slant height Surface area of cone

(a) 5 cm 05' cm#

(b) ! cm 0#' cm#

(c) " cm 48' cm#

1


4/7

Review Exercise 24

14. he diagram shows a cuboid that has a volume of 48$ cm+.

(a) Find the width of the cuboid.(b) f the cuboid is cut through lane HLMJ , calculate the total surface area of both

the arts.

15. he circumference of the base of a right circular cone as shown in the diagram is

44 cm.

Calculate

(a) the height of the cone.

(b) the total surface area of the cone.

(-se ' ="

##)


$ cm


5/7

Review Exercise 24

16. he diagram shows a comosite solid consisting of a c&linder and a right circular

cone. he curved surface area of the c&linder is 44$ cm#.

%& ta2ing ' ="

##, calculate

(a) the radius of the c&linder.

(b) the total surface area of the solid.

17.n the diagram, the rectangle

PQRS is the base of a &ramid. ts verte/,

V , is

verticall& above oint S .

(a) Calculate the length of VP correct to one decimal lace.

(b) %& using the answer in (a), find the total surface area of the &ramid.



6/7

Review Exercise 24

18. he diagram shows a solid consisting of two c&linders X and Y . he a/es of the

c&linders are the same. he curved surface areas of both the c&linders are the same.

Calculate

(a) the height of c&linder X .

(b) the total surface area of the solid.

(-se ' ="

##)

19. right circular cone has a radius of x cm and a slant height of y cm. he curved

surface area of the cone is twice its base area.(a) 3/ress x in terms of y.

(b) f y = 4, calculate the total surface area of the cone.

(-se ' ="

##)

20.



7/7

Review Exercise 24

he diagram shows a solid consisting of a cuboid and a right &ramid. f the height of

verte/ M of the right &ramid from the base PQRS is # cm, calculate the surfacearea of the solid.

21.

he diagram shows a solid consisting of a right c&linder and a hemishere. %& ta2ing

' ="

##, calculate the surface area of the solid.


review exercise 24 (subjective)

Documents