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

Question 1

[Maximum number: 6]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Core

The diagram shows the net of a cuboid.

[ 6 ]

Question (i)

(i)

Find the volume of the cuboid. cm3\mathrm{cm}^{3} [2]

[ 2 ]

Question (ii)

(ii)

Show that the total surface area of the cuboid is 148 cm2148 \mathrm{~cm}^{2}.

[ 2 ]

Question (iii)

(iii)

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

[ 2 ]

Question 2

[Maximum number: 4]

A sphere has a surface area of 177 cm2177 \mathrm{~cm}^{2}.

Question (a)

(a)

Calculate the radius of the sphere.
cm [2]

[ 2 ]

Question (b)

(b)

Calculate the volume of the sphere.
cm3\mathrm{cm}^{3} [2]

[ 2 ]

Question 3

[Maximum number: 4]
Figure for Question 3 — CAIE IGCSE Mathematics Core

The diagram shows the net of a cuboid.

Question (a)

(a)

Work out the surface area of this cuboid. cm^2

[ 2 ]

Question (b)

(b)

Work out the volume of this cuboid. cm^3

[ 2 ]
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