Question

How many rectangular blocks each 2.5cm by 2cm by 1.5 cm can be packed in a box 90cm by 78cm by 42cm internal measurements?How many 4cm cubes can be packed in this box with faces parallel to the sides

Answer 1

9312 blocks and 4606 cubes can be packed .

Step-by-step explanation:

Length of box = 90 cm

Width of box = 78 cm

Height of box = 42 cm

Volume of box = $90 \times 78 \times 42 = 294840 cm^3$

Length of block = 2.5 cm

Width of block = 2 cm

Height of block = 1.5 cm

Volume of block = $2.5 \times 2 \times 1.5 = 7.5 cm^3$

No. of rectangular blocks can be packed = $\frac{294840}{7.5}=39312$

Side of cube = 4 cm

Volume of cube = $4^3 = 64 cm^3$

No. of cubes can be packed = $\frac{294840}{64}=4606.875$

So, 4606 cubes can be packed

Hence 39312 blocks and 4606 cubes can be packed .

#Learn more :

How many cubes of side 2cm can be packed in a cubical box with inner side equal to 4cm?

https://brainly.in/question/5451516

Answer 2

Answer:

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