CAIE IGCSE Mathematics Core C5.4 Surface…Volume

Covered syllabus points

C5.4.1 Carry out calculations and solve problems involving the surface area

[Maximum number: 6]

(a)

Figure for Question (a) — CAIE IGCSE Mathematics Core

The diagram shows the net of a cuboid.

[ 6 ]

(i)

Find the volume of the cuboid. $\mathrm{cm}^{3}$ [2]

[ 2 ]

120

M1 for $6\times4\times5$ oe.

(ii)

Show that the total surface area of the cuboid is $148 \mathrm{~cm}^{2}$ .

[ 2 ]

$2\times(6\times4+4\times5+6\times5)=148$
M1 for $6\times4$ , $4\times5$ or $6\times5$ oe soi.

(iii)

Calculate the total length of the edges of the cuboid.
cm [2]

[ 2 ]

60

M1 for $4\times6+4\times5+4\times4$ oe.

[Maximum number: 2]

(a)

The diagram shows a cuboid made from $1 \mathrm{~cm}^{3}$ cubes.

NOT TO SCALE

[ 2 ]

(i)

Work out the volume of the cuboid. $\mathrm{cm}^{3}$

[ 1 ]

(ii)

Write down the dimensions of a different cuboid that can be made using all of the cubes. cm by cm by cm [1]

[ 1 ]

[Maximum number: 3]

The candle is in the shape of a cone.

The volume of the candle is $900\text{ cm}^3$ .
The height of the candle is 8 cm.
Calculate the radius of the candle.
cm

10.4 or $10.36\ldots$

M2 for $\sqrt{\frac{900\times3}{8\pi}}$ oe

or

M1 for $r^2=\frac{900\times3}{8\pi}$ oe
or for $900=\frac{1}{3}\pi r^2\times8$ oe and a correct first step

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CAIE IGCSE Mathematics Core C5.4 Surface Area and Volume Topic Practice

Covered syllabus points

Question 1

Question (a)

Question (i)

Question (ii)

Question (iii)

Question 2

Question (a)

Question (i)

Question (ii)

Question 3