ECZ 2010 · O-Level Paper 2 · Question 7 — Mensuration
Question from ECZ 2010 · O-Level Paper 2 · Question 7
(a) The figure below shows the net of a pyramid with a square base ABCD of side 8 cm. Given that each of the triangles is an equilateral triangle, calculate
(a(i)) the perimeter of the net,[1]
Verified working — step 1
The outline of the net is made of 8 equal edges.(a(ii)) the area of the figure in square centimeters, correct to 3 significant figures.[3]
Verified working — step 1
Square base: 8 × 8 = 64 cm2.(a(iii)) the volume of the pyramid when the shape is folded along the dotted lines. [volume of pyramid = 13 base area x perpendicular height][3]
Verified working — step 1
The base diagonal is 8 √2, so the centre-to-vertex distance is 4 √2.(b) Given that x = 7 and y = -9,
(b(i)) find the value of 3x - y.[2]
Verified working — step 1
Substitute x = 7 and y = -9.(b(ii)) Simplify 3y2 - 5y - 12y2 - 9.[3]
Verified working — step 1
Factorise both parts.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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