Question

A large cuboid-shape box has dimensions of 70cm by 40cm by 40cm. Work out the maximum number of smaller cube-shaped boxes with sides of length 10cm that will fit in the large box​

Answer 1

Given ,

• A large cuboid-shape box has dimensions of 70cm by 40cm by 40cm
• Length of the cube shaped boxes are 10cm

To Find : Maximum number of small cube shaped boxes that can fit in the cuboid

Volume of the Cuboid =
`2(lb+bh+lh)`

Volume of the cuboid =
`2(70X40+40X40+70X40)`

=
`14400cm^(3)`

Now to find the volume of a cube,

`V = a^(3)`

`V = 10X10X10`

`V = 1000cm^(3)`

Number of boxes that can fit in a cuboid =
`(14400)/(1000)`

=
`14boxes`

Hence , the number of cube shaped boxes that can fit in a cuboid are 14