Question

the internal measurement of a box are 20cm long,16 cm wide,and 24 cm high. How many 4cm cubes could be put into the box?

Answer 1

Given

• Length of box = 20 cm
• Breadth of box = 16 cm
• Height of box = 24 cm
• Side of cube = 4 cm

Find out

• How many 4cm cubes could be put into the box?120

Solution

★ Volume of box ★

→ Length × breadth × height

→ 20 × 16 × 24

→ 7680 cm³

★ Now, volume of cube ★

→ (side)³

→ (4)³

→ 64 cm³

✰ Therefore, the number of cube put into the box

→ Volume of box/volume of cube

→ 7680/64

→ 120 cubes

Additional Information

• Area of rectangle = length × breadth
• Area of square = side × side
• Perimeter of rectangle = 2(l + b)
• Perimeter of square = 4 × side

Answer 2

Given:-

• Length of box = 20cm
• Breadth of box = 16cm
• Height of box = 24cm

To find:-

• How many 4cm cubes could be put into the box?

Solution:-

We know that,

The box has length, breadth and height so it is a cuboidal form.

★ Volume of box(cuboid) = l × b × h

= 20 × 16 × 24

= 7680cm³

★ Volume of cube = a³

= (4)³

= 64cm³

Now,

No. of cube that could be put into boxes:-

= (Volume of box) / (Volume of cubes)

= 7680/64

= 120

Therefore, Number of cubes that can be put into boxes = 120

★ Hence Solved!!