Ok, so
We know that Jorge uses 1-centimeter cubes to make a rectangular prism. If we graph:
He uses cubes like the previous figure.
Each layer of his prism is 5 cubes long and 2 cubes wide.
So this is:
This is the rectangular prism that Jorge built. Now, if we notice, the measure of the width of this prism is 2 centimeters and its lenght is 5 centimeters.
A way to find the volume could be:
- Use the formula of the volume of a prism, which is:
Where W is the width, L is the lenght and H is the height.
If we replace, we got that:
![\begin{gathered} V=5\operatorname{cm}\cdot2\operatorname{cm}\cdot1cm \\ V=10\operatorname{cm}3 \end{gathered}]()
The other way which we could find the volume of the prism is to sum the volume of each cube.
The volume of each cube is 1 cm3. If we count, there are 10 cubes needed to build the prism. So, if we multiply:
![\begin{gathered} 1\operatorname{cm}3\cdot10 \\ =10\operatorname{cm}3 \end{gathered}]()
Which is actually the volume of the prism given.