Cambridge International Mathematics

Mensuration (solids and containers) (Chapter 11) 253

Review set 11A

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1 Convert:

a 2600 mm^3 to cm^3 b 8 000 000cm^3 to m^3 c 1 : 2 m^3 to cm^3

d 5 : 6 litres to ml e 250 litres to kl f 56 cm^3 to ml

2 Find the surface area of the following solids:

abc

3 Li has a 10 cm£ 8 cm£ 5 cm block of clay. She wants to mould 50 clay spheres to use as heads

for her figurines. Assuming there is no wastage, find the radius of the spheres Li should make.

4 Find the volume of the following, correct to 2 decimal places:

abc

5 Bananas at a market cost$3: 80 per kg. A bunch of 8 bananas is bought for$5: 32. Find the average

mass of a banana.

6 Find the density of these objects in g per cm^3.

ab

7 Marie has bought a plant which she needs to transfer from its cylindrical

pot to the ground. The pot has diameter 10 cm and is 20 cm high. Marie

needs to dig a hole 4 cm wider and 5 cm deeper than the pot. She then

inserts the plant, and fills in the rest of the hole with extra soil.

a Find the volume of the hole Marie needs to dig.

c Once the water soaks in, she puts the plant in the hole. How much

extra soil will she need to fill the hole?

8 A conical heap of sand is twice as wide as it is high. If the volume of the sand is 2 m^3 , find the

height of the heap.

9

a volume

b surface area of the wedge.

4cm

2cm

1.5 cm

3cm

2cm

4cm 4m

3m

12.5 cm

14 cm

8.2 cm 6cm 6m

5m

6cm

5cm

72 g

8cm

85 g

20 cm

10 cm

A wedge with angleμas shown is cut from the centre of a cylindrical

cake of radiusrand heighth. Find an expression for the:

q

r

h

b Before inserting the plant, Marie fills the hole with water. How

much water will she need, assuming none of it soaks away?

IGCSE01

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Y:\HAESE\IGCSE01\IG01_11\253IGCSE01_11.CDR Friday, 3 October 2008 4:37:32 PM PETER