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

Answer:

See attachment for drawing

Step-by-step 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:

$Length \ne Width$

For instance:

$Length = 20$

$Width = 5$

See attachment for drawing