CAIE IGCSE Mathematics Extended E5.5.2 Carry Out Calculations and Solve Problems Involving Surface Areas and Questions

Practise Extended CAIE IGCSE Mathematics by decomposing solids into faces and combining their component areas.

Exam points

Calculate surface area of cuboids, prisms and other solids from their faces.
Use nets, rectangles, triangles and circles to find total surface area.
Apply consistent units and combine component areas accurately.

[Maximum number: 3]

NOT TO SCALE

The diagram shows a solid sphere with radius 6 cm inside a cube with side length 20 cm.
The cube contains water to a depth of 15 cm.
The sphere is removed.
Calculate the new depth of water in the cube.
[The volume, V, of a sphere with radius r is V=4/3 r^3.]

12.7 or 12.73 to 12.74
B2 for 2.26 or 2.261 to 2.262... soi
or M2 for $\frac{20^2\times15-\frac43\pi\times6^3}{20^2}$ oe, or $15-\frac{\frac43\pi\times6^3}{20^2}$ oe
or M1 for $20^2\times15-\frac43\pi\times6^3$ oe or $20^2D=\frac43\pi\times6^3$ oe
If 0 scored, SC1 for answer 11[.0] or 10.97 to 10.98

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CAIE IGCSE Mathematics Extended E5.5.2 Carry Out Calculations and Solve Problems Involving Surface Areas and Questions question 1