FreshWave brand tuna is sold in cans that are in the shape of a cuboid with length \(8\,{\text{cm}}\), width \({\text{5}}\,{\text{cm}}\) and height \({\text{3}}{\text{.5}}\,{\text{cm}}\). HappyFin brand tuna is sold in cans that are cylindrical with diameter \({\text{7}}\,{\text{cm}}\) and height \({\text{4}}\,{\text{cm}}\).

Find the volume, in \({\text{c}}{{\text{m}}^3}\), of a can of

i)    FreshWave tuna;

ii)   HappyFin tuna.

The price of tuna per \({\text{c}}{{\text{m}}^3}\) is the same for each brand. A can of FreshWave tuna costs \(90\) cents.

Calculate the price, in cents, of a can of HappyFin tuna.

i)    \(8\,\, \times \,\,5\,\, \times \,3.5\)        (M1)

\( = 140\)        (A1)

Note: Award (M1) for correct substitution in volume formula.

ii)   \(\pi \,\, \times \,\,{3.5^2}\,\, \times \,\,4\)        (M1)

\( = 154\,\,\,\,(153.938...,\,\,49\pi )\)        (A1) (C4)

Note: Award (M1) for correct substitution in volume formula.

\(\frac{{90\,\, \times \,\,{\text{their}}\,154}}{{{\text{their}}\,140}}\)       (M1)

Note: Award (M1) for multiplying the given \(90\) by their part (a)(ii) and dividing by their part (a)(i). Follow through from (a). Accept correct alternative methods.

\( = 99\)       (A1)(ft) (C2)

Note: Award a maximum of (M1)(A0) if the final answer is not an integer.

Question 4: Volume
Part (a) was generally answered well, as was part (b); misreading of the question was the main problem.

Question 4: Volume
Part (a) was generally answered well, as was part (b); misreading of the question was the main problem. Part (c), though straightforward in concept, was not well understood by a number of candidates, and many did not give the answer as a number of cents as instructed in the question.