Question

how many sugar cubes of side 1cm can be packed in a box of dimensions 15cm, 8cm, 5cm​

Answer 1

Total number of sugar cubes can be packed in the box are 600

Step-by-step explanation:

Given:-

a box of dimensions 15cm, 8cm, 5cm.

To find:-

how many sugar cubes of side 1cm can be packed in a box of dimensions 15cm, 8cm, 5cm

Solution:-

The dimensions of a box are 15 cm , 8 cm and

5 cm

Let length of the box (l)=15 cm

Let the breadth of the box (b)=8 cm

Let the height of the box (h)=5 cm

Volume of a box = Volume of a cuboid = lbh cubic units

=>Volume of a box = 15×8×5 cubic cm

=>Volume of a box = 600 cubic cm

Now,

Side of the sugar cube = 1 cm

Let a = 1 cm

Volume of the sugar cube = Volume of a cube

=>a³ cubic units

=>1³ cubic cm

=>1 cubic cm

we have

Volume of the sugar cube = 1 cubic cm

Volume of the box =600 cubic cm

Let the number of sugar cubes can be packed= n

Volume of the box =

Number of sugar cubes ×Volume of sugar cubes

=>Number of sugar cubes=

Volume of the box /Volume of sugar cubes

Number of sugar cubes=600/1

Number of sugar cubes=600

Answer:-

Total number of sugar cubes can be packed in the box are 600

Used formulae:-

• The edge of a cube is "a" units then the volume of the cube is "a³" cubic units
• Length ,breadth and height of a cuboid are "l","b","h" units respectively then the volume of a cuboid is "lbh" cubic units.