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The internal length and breadth of a cuboidal store are 16 m and 13 m respectively and its height is 11 m. There is another cubical store whose internal length, breadth and height are 8 m each. How many total cubical boxes each of side one metre can be placed in these two stores to a height of 7 metres?

The internal length and breadth of a cuboidal store are 16 m and 13 m respectively and its height is 11 m. There is another cubical store whose internal length, breadth and height are 8 m each. How many total cubical boxes each of side one metre can be placed in these two stores to a height of 7 metres? Correct Answer 1904

Concept

Volume of cuboid = length × breadth × height

Volume of cube = side3

Number of cubical boxes that can fit inside cuboidal/cubical store = Volume of cuboidal/cubical store ÷ Volume of one cubical box

Calculation

Length and breadth of cuboidal store = 16 m and 13 m respectively

Boxes are to be placed to a height of 7 m 

so, height = 7 m

Volume of cuboidal store = 16 × 13 × 7 = 1456 m3

Similarly, Length and breadth of cubical box = 8 m each and height = 7 m

Volume of cubical store = 8 × 8 × 7 = 448 m3

Volume cubical box of side 1 m = 1 × 1 × 1 = 1 m3

Number of boxes to be placed = (1456 ÷ 1) + (448 ÷ 1) = 1904

So, the number of boxes = 1904.

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