Question

A transport lorry consists of a cab and a trailer. The trailer has a volume of 90m^(2). Alfie makes a model of this lorry using a scale of 1:72. Work out the volume of the trailer in Alfie's model, giving your answer in cm^(3)

Answer 1

To find the volume of the trailer in Alfie's model, convert the scale from meters to centimeters. Then, multiply the real volume by the scale factor cubed to get the volume in the model.

Step-by-step explanation:

To find the volume of the trailer in Alfie's model, we need to convert the scale from meters to centimeters. Since 1 meter is equal to 100 centimeters, the scale of 1:72 means that 1 centimeter in the model represents 72 centimeters in real life.

To convert the volume from cubic meters to cubic centimeters, we need to multiply the real volume by the scale factor cubed (72³). The volume of the trailer in real life is 90 cubic meters, so the volume in Alfie's model is 90 * (72³) cubic centimeters.

Answer 2

To find the volume of the trailer in Alfie's model, convert the volume of the real trailer to cm³ and then divide by the scale squared.

Step-by-step explanation:

To find the volume of the trailer in Alfie's model, we need to use the scale of 1:72. This means that every 1 cm in the model represents 72 cm in the real trailer. Since the trailer has a volume of 90 m2, we first need to convert it to cm3. 1 m3 is equivalent to 1,000,000 cm3, so the volume of the real trailer is 90,000,000 cm3. Now, we can use the scale to find the volume in Alfie's model. 72 cm represents 1 cm in Alfie's model, so we divide the volume of the real trailer by 72 x 72 x 72 to get the volume in cm3 in Alfie's model.