Question

Need help here I’m bad at math and I was bad at math in school too

Answer 1

Part 1

We need to find the volume of a freezer with inside dimensions:

120cm

70cm

50cm

Since that freezer is a rectangular prism, its volume V is given by:

$V=\text{ length}\times\text{width}\times\text{ depth}$

So, we have:

$\begin{gathered} V=120cm\times70cm\times50cm \\ \\ V=120\times70\times50(cm\times cm\times cm) \\ \\ V=420000cm^{3} \end{gathered}$

Therefore, that freezer will hold 420,000 cubic centimeters of food.

Part 2

Now, we need to convert the previous result to cubic decimeters.

We have the following relations between centimeters (cm) and decimeters (dm):

$cm=\frac{dm}{10}$

So, we have:

$420000cm^3=420\cdot10^3\cdot\mleft(\frac{dm}{10}\mright)^3=420\cdot10^{3}\cdot\frac{dm^{3}}{10^{3}}=420dm^{3}$

Therefore, that volume corresponds to 420 dm³.

Part 3

We need to find the number of liters of water necessary to fill that freezer. This amount corresponds to the inside volume of the freezer.

So, we need to convert the previous result to liters.

Notice that:

$1dm^{3}=1\text{liter}$

Thus, the answer is: 420 liters of water.