Volume of a Prism: Foundation Tier Practice - Worksheets, Questions and Revision

12 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 5)
« Previous: Volume of a Prism: Fluency and Exam DrillNext: Volume of a Prism: Higher Tier Practice »
Revision Library
revisionlibrary.co.uk
FOUNDATION

4.13F Volume of a Prism: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A cuboid has length 8 cm, width 3 cm and height 2 cm. Work out its volume.
(Total for Question 1 is 1 mark)
2
A prism has a triangular cross-section with base 5 cm and height 4 cm. The prism length is 10 cm. Work out the volume of the prism. Give your answer in cm3.
(Total for Question 2 is 1 mark)
3
A cuboid has volume 360 cm3. Its length is 10 cm and its width is 6 cm. Work out the height of the cuboid.
(Total for Question 3 is 2 marks)
4
A triangular prism has a triangular cross-section with base 6 cm and height 3 cm. The prism is 12 cm long. Work out the volume of the prism in cm3.
(Total for Question 4 is 2 marks)
5
A cuboid box is 25 cm long, 8 cm wide and 4 cm high. Calculate the volume of the box in litres. (1 litre = 1000 cm3)
(Total for Question 5 is 3 marks)
6
Priya pours water into a triangular prism-shaped tray. The triangular cross-section has base 10 cm and height 4 cm. The tray is 20 cm long. How many full 250 cm3 cups of water can Priya fill from the tray? Show working.
(Total for Question 6 is 3 marks)
7
A metal beam is a prism with a rectangular cross-section measuring 3 cm by 5 cm. The beam is 2.4 m long. Work out the volume of the beam in cubic centimetres. Give your answer correct to 3 significant figures.
(Total for Question 7 is 4 marks)
8
Callum is designing a sailboat hull model. The hull is a triangular prism with cross-section base 18 cm and height 6 cm. The hull length is 45 cm. Calculate the hull volume in litres. Give your answer to 2 decimal places. (1 litre = 1000 cm3)
(Total for Question 8 is 4 marks)
9
A prism has a trapezoidal cross-section. The parallel sides of the trapezium are 6 cm and 10 cm, the height of the trapezium is 4 cm, and the prism length is 15 cm. Work out the volume of the prism in cm3. (Area of trapezium = 1/2 x (sum of parallel sides) x height)
(Total for Question 9 is 3 marks)
10
A rectangular aquarium is 60 cm long, 30 cm wide and 40 cm high. Water is filled to a depth of 25 cm. Calculate the volume of water in litres. Give your answer to the nearest litre. (1 litre = 1000 cm3)
(Total for Question 10 is 5 marks)
11
A teacher makes a model prism by cutting a triangular cross-section from card. The triangle has sides 9 cm, 12 cm and 15 cm and the prism length is 10 cm. The triangle is right-angled. Work out the volume of the prism in cm3.
(Total for Question 11 is 4 marks)
12
Oliwia has a storage unit in the shape of a prism. The cross-section is a rectangle 1.2 m by 0.8 m. The depth of the unit is 2.5 m. Calculate the volume of the storage unit in cubic metres and in litres. Give answers correct to 2 decimal places where appropriate. (1 cubic metre = 1000 litres)
(a)Calculate the volume in cubic metres. Give your answer to 2 decimal places.(4)
(b)Convert your answer to litres. Give your answer to the nearest litre.(4)
(Total for Question 12 is 8 marks)
Mark scheme · 4.13F Volume of a Prism: Foundation Tier Practice

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12