Question

The Moore's are purchasing a new upright freezer. The inner dimensions of the freezer are 0.5 meter by 0.6 meter by 1.5 meters. (a) What is the volume of the freezer in cubic meters? (b) What is the volume of the freezer in cubic centimeters? (Hint 1 cubic meter = 100 x 100 x 100 cubic 1.5 m centimeters.) 0.6 m 0.5 m T = lwh Response

Answer 1

Explanation:

a)

The volume of a rectangular prism - which is the shape this freezer has - is:

$V=\text{width x length x height}$

These measures are all in meters, so the volume of the freezer in meters is:

$V=0.5m\times0.6m\times1.5m=0.45m^3$

b) If 1 m³ = 100 x 100 x 100 cm³ this is the same as 1 m³ = 1,000,000 cm³. To find the volume in cubic centimeters we have to use this equality to transform the volume found in item (a) from cubic meters to cubic centimeters:

$\frac{0.45m^3}{1m^3}\times1,000,000\operatorname{cm}=450,000\operatorname{cm}^3$

Answers:

• a) ,V = 0.45 m³

,

• b) ,V = 450,000 cm³