### Video Transcript

Amina made this cuboid using
centimetre cubes. Stefan makes a cuboid that is five
centimetres longer, five centimetres taller, and five centimetres wider than Amina’s
cuboid. What is the difference in the
number of cubes in Amina’s and Stefan’s cuboids?

This is a three-step problem. First, we have to find the volume
of Amina’s cuboid. Then, we have to find the volume of
Stefan’s cuboid. Then, we have to find the
difference. We need to know how to calculate
the volume first. We do this by multiplying the
length by the width by the height. Amina’s cuboid is six by four by
three. We know that six times four is
24. 24 multiplied by three is 72. So the volume of Amina’s cuboid is
72 centimetres cubed.

We know that Stefan’s cuboid is
five centimetres longer, taller, and wider than Amina’s. Six centimetres plus five is 11,
four plus five is nine, and three plus five is eight. To find the volume of Stefan’s
cuboid, we need to multiply 11 by nine by eight. 11 times nine is 99. Now, we just need to multiply 99 by
eight. An easy way to calculate this would
be to round 99 to 100 and multiply 100 by eight, which is 800. Then, we need to adjust by taking
away the eight ones that we added too many. Stefan’s cuboid is 792 centimetres
cubed.

Now, all we need to do is find the
difference. 792 take away 72 equals 720. The difference between Stefan and
Amina’s cuboids is 720 cubes.

To solve this problem, first, we
found the volume of Amina’s cuboid. Then, we found the volume of
Stefan’s cuboid. And then, we found the
difference.