Question

Mateyo is building a rectangular prism with a volume of 1000 cubic units. The height of the prism is 10 units. Mateyo claims that the base of the prism must be a square. Draw a base for th rectangular prism that shows that Mateyo is not correct. Remember to label the units.

Answer 1

See attachment for drawing

Explanation:

Given

`Volume = 1000`

`Height = 10`

Required

Drawing that proves Mateyo wrong

First, calculate the base area

`Volume = Base\ Area * Height`

This gives:

`1000= Base\ Area * 10`

Divide both sides by 10

`100= Base\ Area`

Rewrite as:

`Base\ Area = 100`

The base area is calculated as:

`Base\ Area = Length * Width`

So, we have:

`Length * Width = 100`

Mateyo's claim can be interpreted as:

`Length = Width = 10`

However, there are other possible cases such that:

`Length \\e Width`

For instance:

`Length = 20`

`Width = 5`

See attachment for drawing