Volume of cream

Volume of cream

Pencil and paper
Overview
Connecting to the Curriculum
Marking Student Responses
Working with Students
This task is about working out the area and volume of a carton.
Volume = area of cross section × length

 
Here are two views of a carton of cream.
 
a) Calculate the area of the vertical cross section (show your working).

 

 

 

 

The area = __________ cm2

 
b) Calculate the volume of the cream carton (show your working).

 

 

 

The volume = __________ cm3

 
c) Calculate the volume of air in the carton when it has 300 ml of cream in it (show your working).

 

 

 

 

The volume of air = __________ cm3
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Measurement
Keywords: 
area, volume, composite shapes
Description of task: 
Students calculate the total volume of a cream carton, and the unused capacity when filled to 300ml.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Measurement sense, sets 7-8
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

  

Y10 (08/2000)

2 marks
or
1 mark

a)

50.75
 
Calculates using two composite shapes and gets at least one volume correct, i.e.,
   rectangle = 42 cm2
   triangle = 8.75 cm2

2 marks - difficult
 
1 mark - moderate

2 marks
or
1 mark

b)

 355.25 [accept answer to a) × 7]
 
Calculates using two composite shapes and gets at least one volume correct, i.e.,
   rectangular prism = 294 cm3
   triangular prism = 61.25 cm3
or
States 50.75 × 7 but miscalculates it.

2 marks - difficult
 
1 mark - difficult

1 mark

c)

55.25 [accept answer to b) – 300]

difficult
 
NOTE: 1 mark is not awarded for correctly stating just one area or volume without attempting to calculate another one.
 
Diagnostic and formative information: 
 

Common error

Likely calculation

Likely reason

a)
b)

42
294

7 × 6
7 × 7 × 6

Ignores triangular top.