Water and milk arc mixed sueh that the volume of water to that of milk is 4:1,
Taking the density of water as 1 g/cm3 and that of milk as 1.2 g/cm3, find the mass in grams of 2.5 litres of the mixture.
The figure below represents a solid cuboid ABCDEFGH with a rectangular base, AC= 13cm, BC = 5 cm and CH = 15cm.
(a) Determine the length of AB,
(b) Calculate the surface area of the cuboid.
(c) Given that the density of the material used to make the cuboid is 7.6 g/cm3, calculate its mass in kilograms.
(d) Determine the number of such cuboids that can fit exactly in a container measuring 1.5 m by 1.2 m by 1 m.
The figure VPQR below represents a model of a top of a tower. The horizontal base PQR is an equilateral triangle of side 9cm. The lengths of edges are VP = VQ = VR = 20.5cm. Point M is the mid point of PQ and VM = 20cm. Point N is on the base and vertically below V.
a) i) Length of RM
ii) Height of model
iii) Volume of the model
b) The model is made of material whose density is 2,700 kg/m3. Find the Mass of the model.
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
An artisan has 63 kg of metal of density 7, 000kg/m3. He intends to use to make a rectangular pipe with external dimensions 12 cm by 15 cm and internal dimensions 10 cm by 12 cm.
Calculate the length of the pipe in metres.
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