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Question

How many sugar cubes with side length 2/3 in can be filled in the below box in the form of a rectangular prism?


A
102 cubes
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B
104 cubes
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C
100 cubes
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D
108 cubes
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Solution

The correct option is D 108 cubes

The given box is


Length of the box(L) = 4 in

Height of the box(H) = 3 in

Width of the box (W) = 83 in

Volume of the box = L × W×H

= 4 × 83 × 3

= 32 cubic inches

Volume of 1 sugar cube =
(23)3

= 23 × 23 ×23

= 827

Number of cubes that can be filled = Volume of the box ÷ volume of 1 sugar cube

= 32 ÷ 827 = 32 × 278

= 108

Hence, 108 sugar cubes can be filled in the given box.


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