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28 March, 14:27

Volume task

A box 2 centimeters high, 3 centimeters wide, and 5 centimeters long can hold 40 grams of clay. A second box has twice the height, three times the width,

and the same length as the first box. How many grams of clay can it hold?

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  1. 28 March, 14:46
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    grams of clay it can hold = 6 * 40 = 240 grams

    Step-by-step explanation:

    The first box has a height 2 cm, width of 3 cm and a length of 5 cm. The box can only hold 40 grams of clay. The volume of the box can be calculated as follows

    volume = length * width * height

    height = 2 cm

    width = 3 cm

    length = 5 cm

    volume = 5 * 3 * 2 = 30 cm³

    The second box has twice the height of the first box, 3 times the width of the first box and retains the same length of the first box. The dimension are as follows

    height = 2 * 2 = 4 cm

    width = 3 * 3 = 9 cm

    length = 5 cm

    volume = length * width * height

    volume = 5 * 9 * 4 = 180 cm³.

    The volume of the second box is 6 times bigger than the first box therefore, it can hold 6 times the weight of the first box.

    grams of clay it can hold = 6 * 40 = 240 grams
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