A cuboidal box is 13 cm long, 11 cm broad and 9 cm high. A cubical box has side 12 cm. Tanu wants to pack 3060 cubes of side 1 cm in these boxes. The number of the cubes left unpacked in these boxes is
Answers
If Tanu wants to pack 3060 cubes of side 1 cm in these boxes, then the number of the cubes left unpacked in these boxes is 45.
Step-by-step explanation:
Step 1:
For Cuboidal Box:
Length = 13 cm
Breadth = 11 cm
Height = 9 cm
∴ The volume of the Cuboidal box = length * breadth * height = 13 * 11 * 9 = 1287 m³
For the cubical box:
Side = 12 cm
∴ The volume of the Cuboidal box = (side)³ = 12³ = 1728 m³
∴ The total volume of both the boxes [cuboidal + cubical] = 1287 + 1728 = 3015 m³
Step 2:
Side of the small cubical boxes = 1 cm
∴ Total no. of small cubical boxes that can fit into both the boxes [cuboidal +cubical] = = 3015
But, it is given that Tanu wanted to pack 3060 cubes.
Thus,
The number of the small cubical boxes that are left unpacked in these boxes is,
= 3060 – 3015
= 45
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Answer:
13*9*11
= 1287
12×12×12
=1728
the total volume of both the boxes [cubical + cubical = 1287+1728=3015m
3015- 3060
=45