Six identical rectangular boxes can be stored in a cupboard 1.5 m high. Two arrangements are shown below. The arrangement in figure A leaves a 30-cm gap at the side. The arrangement in figure B leaves a 13-cm gap at the side and another gap at the top.

  1. (a)

    In the arrangement shown in Figure B, what is the width of the gap at the top?

  2. (b)

    What is the width of the cupboard in metres?

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Worked solution

14(b)

1. Find the width of one box based on Figure A's vertical arrangement

From Figure A, 3 boxes stacked vertically match the cupboard's height of 1.5 m=150 cm1.5\text{ m} = 150\text{ cm}.
Width of one box =150÷3=50 cm= 150 \div 3 = 50\text{ cm}

2. Calculate the width of the cupboard using Figure B

In Figure B, the boxes are oriented vertically. Assuming 3 columns of boxes are placed side-by-side, the total width occupied by the boxes is 3×50=150 cm3 \times 50 = 150\text{ cm}.
Width of the cupboard =150+13=163 cm= 150 + 13 = 163\text{ cm}

3. Convert the width to metres

163 cm=1.63 m163\text{ cm} = 1.63\text{ m}

Answer

1.631.63 m

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