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Date May 2013 Marks available 2 Reference code 13M.1.sl.TZ2.1
Level SL only Paper 1 Time zone TZ2
Command term Write Question number 1 Adapted from N/A

Question

A cuboid has the following dimensions: length = 8.7 cm, width = 5.6 cm and height = 3.4 cm.

Calculate the exact value of the volume of the cuboid, in cm3.

[2]
a.

Write your answer to part (a) correct to

(i) one decimal place;

(ii) three significant figures.

[2]
b.

Write your answer to part (b)(ii) in the form \(a \times 10^k\), where \(1 \leqslant a < 10 , k \in \mathbb{Z}\).

[2]
c.

Markscheme

\({\text{V}} = 8.7 \times 5.6 \times 3.4\)     (M1)

 

Note: Award (M1) for multiplication of the 3 given values.


\(=165.648\)     (A1)     (C2)

a.

(i) 165.6     (A1)(ft)


Note: Follow through from their answer to part (a).

(ii) 166     (A1)(ft)     (C2)


Note: Follow through from their answer to part (a).

b.

\(1.66 \times 10^2\)     (A1)(ft)(A1)(ft)     (C2)


Notes: Award (A1)(ft) for 1.66, (A1)(ft) for \(10^2\). Follow through from their answer to part (b)(ii) only. The follow through for the index should be dependent on the value of the mantissa in part (c) and their answer to part (b)(ii).

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 1 - Number and algebra » 1.2 » Approximation: decimal places, significant figures.
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