Quelpr
2 marksVolume of Solids

CSEC Mathematics · January 2016 · Paper 2 · Question 4(b)(ii)

A prism has a cross section PQRST and length 20 cm. PQRST is made up of a rectangle PQRT and a semicircle RST such that PQ = 6 cm and QR = 5 cm. Use π = 3.14.

An engineer needs a similar prism whose volume is NOT more than 900 cm³. Estimate, in cm, the length of the longest prism he can use.

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Other parts of this question

  1. 4(a)(i)State, in cm, the length of LM as shown in the diagram.[1 mark]
  2. 4(a)(ii)Estimate, by counting squares, the area of the map shown in the diagram.[1 mark]
  3. 4(a)(iii)Complete the following statement: On the map, 1 cm represents ______ km.[1 mark]
  4. 4(a)(iv)Write the scale of the map in the form 1 : x.[1 mark]
  5. 4(a)(v)What distance on the island will be 3 cm on the map?[1 mark]
  6. 4(a)(vi)What area on the island will be represented by 3 cm² on the map?[2 marks]
  7. 4(b)(i)Calculate the area of the cross section PQRST.[2 marks]

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