Edexcel GCSE
Mathematics (Linear) – 1MA0
Answers
VOLUME OF PRISM
Materials required for examination
Ruler graduated in centimetres and
millimetres, protractor, compasses,
pen, HB pencil, eraser.
Tracing paper may be used.
Items included with question papers
Nil
Instructions
Use black ink or ball-point pen.
Fill in the boxes at the top of this page with your name, centre number and candidate number.
Answer all questions.
Answer the questions in the spaces provided – there may be more space than you need.
Calculators may be used.
Information
The marks for each question are shown in brackets – use this as a guide as to how much time to
spend on each question.
Questions labelled with an asterisk (*) are ones where the quality of your written communication
will be assessed – you should take particular care on these questions with your spelling, punctuation
and grammar, as well as the clarity of expression.
Advice
Read each question carefully before you start to answer it.
Keep an eye on the time.
Try to answer every question.
Check your answers if you have time at the end.
1.
Here is a cuboid.
20 x 30 = 600
600 x 40 = 2400
Work out the volume of the cuboid.
2400 cm³
............................................................................
*2.
(3 marks)
______________________________________________________________________________
The diagram shows two fish tanks, each in the shape of a cuboid.
Diagram NOT
accurately drawn
35 cm
B
A
45 cm
35 cm
30 cm
95 cm
65 cm
Finley fills both fish tanks with water.
Which fish tank holds the most water?
You must show all your calculations.
Tank A
95 x 35 = 3325
3325 x 30 = 99750
Tank B
35 x 45 = 1575
1575 x 65 = 102375
Tank B holds the most water
(4 marks)
______________________________________________________________________________
3.
The diagram shows a prism.
5
Work out the volume of the prism.
Area of the L-shape
5 x 4 + 9 x 2 = 38
Volume of the prism
38 x 10 = 380
380
...................................................cm3
(4 marks)
______________________________________________________________________________
4.
Here is a solid prism.
6
Work out the volume of the prism.
Area of L-shape
7 x 5 + 6 x 4 = 59
Volume of prism
59 x 20 = 1180
1180
.......................................... cm3
(4 marks)
___________________________________________________________________________
5.
Work out the volume of the triangular prism.
Area of triangle
15 x 8 ÷ 2 = 60
Volume of prism
60 x 10 = 600
600 cm³
.........................................
(4 marks)
6.
Diagram NOT
accurately drawn
5 cm
4 cm
7 cm
3 cm
Calculate the volume of the triangular prism.
Area of triangle
4x3÷2=6
Volume of prism
6 x 7 = 42
42 cm³
…................................
(4 marks)
______________________________________________________________________________
7.
The diagram shows a triangular prism.
BC = 4 cm, CF = 12 cm and angle ABC = 90º.
The volume of the triangular prism is 84 cm3.
Work out the length of the side AB of the prism.
Area of triangle
84 ÷ 12 = 7
Length of AB
4 x AB ÷ 2 = 7
AB = 3.5
3.5 cm
…................................
(4 marks)
______________________________________________________________________________
8.
The diagram shows a triangular prism.
The cross-section of the prism is a trapezium.
The lengths of the parallel sides of the trapezium are 8 cm and 6 cm.
The distance between the parallel sides of the trapezium is 5 cm.
The length of the prism is 20 cm.
Work out the volume of the prism.
Area of trapezium = ½(a + b)h
Area = ½(6 + 8)5
Area = 35 cm²
Volume = 35 x 20
Volume = 700 cm³
700 cm³
…................................
(4 marks)
_____________________________________________________________________________
9.
A skip is in the shape of a prism with cross-section ABCD.
AD = 2.3 m, DC = 1.3 m and BC = 1.7 m.
The width of the skip is 1.5 m.
(a) Calculate the area of the shape ABCD.
Area of trapezium = ½(a + b)h
Area = ½ x (1.7 + 2.3) x 1.3
Area = 2.6 m²
2.6 m²
…................................
(2 marks)
b) Calculate the volume of the skip.
Volume = 2.6 x 1.5
Volume = 3.9 m³
3.9 m³
…................................
(3 marks)
_____________________________________________________________________________