The external dimensions of a closed wooden box are 27 cm, 19 cm,11 cm. If the thickness of the wood in the box is 1.5 cm, Find number of 4cm cubes that could be placed into the box.
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Answer:
48 cubes can be placed
Step-by-step explanation:
The external volume of the box = 27 x 19 x 11 cm³
= 5643 cm³
Since, external dimensions are 27 cm, 19 cm, 11 cm; the thickness of the wood is 1.5 cm
Therefore, the internal dimensions are,
= (27-2x1.5)cm, (19-2x1.5)cm, (11-2x1.5)cm
= 24 cm, 16 cm, 8 cm
Hence, the internal volume of box=(24x16x8)cm³
=3072 cm³
(iii) Volume of 4 cm cube = 4³ = 64 cm3
Therefore,
Number of 4 cm cubes that could be placed into the box= 3072/64 = 48.
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