Question

The dimensions of a rectangular box are given to be 11.8 cm × 43.5 cm × 9.56 ×10^2mm. What is its volume in liters? Be careful! The units are not all the same.

Answer 1

The volume of the rectangular box is 49 litre.

Solution:

We know the
`\text { volume of the rectangular box }= { width* length* height }`

Now the dimension given is
`11.8 cm* 43.5 cm* 9.56* 10^2mm`

Now,
`11.8 cm = (11.8)/(100) = 0.118 m`,

`43.5 cm = (43.5)/(100) = 0.435 m`

`9.56* 102 mm =((9.56*100))/(1000m)= 0.956 m`

So the volume is
`(0.118* 0.435* 0.956) m^3 = 0.049 m^3`

As we know
`1 litre = 0.001m^3`

Hence
`0.049 m^3 = ((0.049)/(0.001) ) litre = 49 litre`

So, the volume of the box is 49 litre.

Answer 2

49.07 Liters

Step-by-step explanation:

1) Converse all the dimensions to dm

Remember that we can converse the units using the followinf strategy:

m-----dm-----cm-------mm

If you go to the right, you have to multiplicate by 10 to converse. On the orther hand, if you go to the left, you have to divide by 10.

So, we can converse like this:

11.8 cm / 10 = 1.18 dm

43.5 cm / 10 = 4.35 dm

9.56x10^2 mm / 100 = 9.56 dm

2) Multiply all the dimensions in dm

1.18 dm x 4.35 dm x 9.56 dm = 49.07 dm^3

Remember that dm^3 is similar to Liter. So, the answer is:

49.07 Liters