NOT TO SCALE The diagram shows a box in the shape of a cuboid. The box is open at the top. (i) Work out the surface area of the inside of the open box. ..................................... $$$\mathrm{cm}^{2}$$$ (ii) Cylinders with height 20 cm and diameter 15 cm are placed in the box. Work out the maximum number of these cylinders that can completely fit inside the box.

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_s24_qp_41 Year：2024 Question No：7(a)

Answer:

Knowledge points:

E1.11.1 Demonstrate an understanding of ratio and proportion. (To include numerical problems involving direct and inverse proportion.)

E1.11.2 Increase and decrease a quantity by a given ratio.

E1.11.3 Calculate average speed. (Use ratio and scales in practical situations.)

E1.11.4 Use common measures of rate. (Formulae for other rates will be given in the question e.g. pressure and density.)

E5.2 Carry out calculations involving the perimeter and area of a rectangle, triangle, parallelogram and trapezium and compound shapes derived from these.

E5.4.1 Carry out calculations involving the surface area and volume of a cuboid, prism and cylinder. (Answers may be asked for in multiples of π.)

E5.4.2 Carry out calculations involving the surface area and volume of a sphere, pyramid and cone. (Formulae will be given for the surface area and volume of the sphere, pyramid and cone in the question.)

E5.5 Carry out calculations involving the areas and volumes of compound shapes. (Answers may be asked for in multiples of π.)

Answer:

Knowledge points:

Solution:

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