Everything Maths Grade 10

c) 6 cm 6 cm 12 cm d) 10 cm 5.Find the surface area and volume of the cone shown here. Round your answers to the nearest integer ...

7.The solid below is made up of a cube and a square pyramid. Find its volume and surface area (correct to 1 decimal place): 5 cm ...

Dimensions Volume Surface Multiply two dimensions by 5 5 h b 5 l V 2 = 5lb 5 h = 5:5 (lbh) = 5^2 V A 2 = 2 [(5l 5 h) + (5lb ...

SOLUTION Step 1: Calculate the original volume and surface area V=lbh = 3 3  4 =36 cm^3 A= 2 [(lh) + (lb) + (bh)] = 2 [(3 ...

Worked example 19: Multiplying the dimensions of a rectangular prism byk QUESTION Prove that if the height of a rectangular pris ...

SOLUTION Step 1: Calculate the original volume and surface area V=r^2 h A=r^2 + 2rh Step 2: Calculate the new volume and sur ...

5.If the length of each side of a triangular prism is quadrupled, what will the volume of the new triangular prism be? H b h 6.G ...

A pyramid is a geometric solid that has a polygon as its base and sides that converge at a point called the apex. The sides are ...

a)Find an expression for the area of this figure in terms ofy. The dimensions of the figure are labelled 5 yand 3 y+ 2. Write ...

6 cm 11 cm 6.The figure here is a triangular prism. The height of the prism is 12 units; the triangles, which both contain right ...

7 10.The figure here shows a pyramid with a square base. The sides of the base are each 4 units long. The vertical height of the ...

7 8,6 5 14.The figure here is a pyramid with a square base. The vertical height of the pyramid isH=8 units and the slant height ...

19.Consider the solids below and answer the questions that follow (correct to 1 decimal place, if necessary): 4 cm 10 cm 20 cm 8 ...

22.Find the volume and surface areas of the following composite shapes. a) 10 cm 15 cm b) 11 m 6 m c) 12 ft 16 ft 4 ft 6 ft 9 ft ...

23.An ice-cream cone (right cone) has a radius of 3 cm and a height of 12 cm. A half scoop of ice-cream (hemisphere) is placed o ...

a) 12 cm 20 cm b)ABCDis a square,AC=12 cm,AP=10 cm. .  C S " J 27.The prism alongside has the following dimensions: AB= 4units, ...

U C J I 33 : 557 ◦ 18 cm 7 cm a) i.Show that the lengthU Iis 15 cm. ii.Find the heightJU(to the nearest unit). iii.Calculate the ...

For more exercises, visit http://www.everythingmaths.co.za and click on ’Practise Maths’. 1.2GTJ 2.2GTK 3.2GTM 4.2GTN 5.2GTP 6.2 ...

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CHAPTER 14 Probability 14.1 Theoretical probability 472 14.2 Relative frequency 475 14.3 Venn diagrams 478 14.4 Union and inters ...