Question

Jakasia needed to find the volume of a plastic container in L to see if the 170 L of

solution that she had would fit inside. She knew that one side was 2.5 ft, the
height of the box was 60 cm, and width of the box was 0.8 m. Use dimensional
analysis to determine if Jakasia's solution will fit in the container.

Answer 1

The solution will fit into the container.

Step-by-step explanation:

The following data were obtained from the question'

Volume of solution = 170 L

Length of container (L) = 2.5 ft

Height of container (H) = 60 cm

Width of container (W) = 0.8 m

Volume of container (V) =?

Next, we shall express the length, height and breadth I the same unit of measurement. In this case, we shall all in centimetres (cm).

For the length:

1 ft = 30.48 cm

Therefore,

2.5 ft = 2.5 ft × 30.48 cm / 1 ft

2.5 ft = 76.2 cm

Thus the length is 76.2 cm

For the width:

1 m = 100 cm

Therefore,

0.8 m = 0.8 m × 100 cm / 1 m

0.8 m = 80 cm

Thus, the width of the container is 80 cm.

Next, we shall determine the volume of the container as follow:

ength of container (L) = 76. 2 cm

Height of container (H) = 60 cm

Width of container (W) = 80 cm

Volume of container (V) =?

Volume = length × width × height

Volume = 76.2 × 80 × 60

Volume = 365760 cm³

Finally, we shall convert 365760 cm³ to litre (L). This can be obtained as follow:

1000 cm³ = 1 L

Therefore,

365760 cm³ = 365760 cm³ × 1 L/ 1000 cm³

365760 cm³ = 365.76 L

Therefore, the volume of the container is 365.76 L

Since the volume of the container (i.e 365.76 L) is bigger than the volume of the solution (i.e 170 L), therefore, the solution will fit into the container.