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F3 math chp4 mensuration

Total questions: 8

Worksheet time: 10mins

Name
Class
Date
1.

The base of a pyramid is a square of side 8. If the height of the pyramid is 15, find its volume.

a)

40

b)

320

c)

640

d)

960

2.

The volume of a metal pyramid is 120 mm3 and its base area is 150 mm2. Find the height of the pyramid.

a)

0.8 mm

b)

1.25 mm

c)

2.4 mm

d)

3.75 mm

3.

The figure shows the dimensions of a right pyramid with a square base. Find its total surface area.

a)

528 cm2

b)

1040 cm2

c)

1344 cm2

d)

2032 cm2

4.

The capacity of a jumbo cone is 270 cm3 and its base radius is 4 cm. Find its slant height. (Give the answer correct to 3 significant figures.)

a)

14.8 cm

b)

16.6 cm

c)

18.2 cm

d)

19.5 cm

5.

A sector OPQ of radius 12 cm and area  60πcm260\pi cm^2   is rolled to form a conical cup by joining the edges OP and OQ. What is the capacity of this cup? (Give the answer correct to 3 significant figures.)

a)

248 cm^3

b)

256cm^3

c)

268cm^3

d)

286cm^3

6.

The surface area of a spherical crystal is 120 cm2. Find its volume. (Give the answer correct to 3 significant figures.)

a)

121cm3

b)

124cm3

c)

130cm3

d)

135cm3

7.

Given that two right circular cones P and Q are similar. If the height of P is two-fifth that of Q, find the ratio of the volume of P to that of Q.

a)

2 : 5

b)

4 : 25

c)

8 : 125

d)

125 : 8

8.

In the figure, ABCD and PQRS are two similar quadrilaterals. If the ratio of the area of ABCD to that of PQRS is 64 : 25, find CD.

a)

8cm

b)

16cm

c)

24cm

d)

512cm