EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Prisms
Prisms · Area and volume · Lesson 3 of 7 · 13 marks · 25 minutes
Name Date
Answer all questions. Show your working. The calculator is allowed where the question says so.
Question 1 NON-CALCULATOR [2 marks]
A cuboid is 5 cm long, 4 cm wide and 3 cm high. Work out (a) its volume and (b) its surface area.
Question 2 NON-CALCULATOR [5 marks]
The diagram shows a triangular prism. The cross-section is a right-angled triangle with sides 6 cm, 8 cm and 10 cm. The prism is 12 cm long. Work out (a) the volume and (b) the total surface area of the prism.
Question 3 CALCULATOR [3 marks]
A tank is a cuboid 1.2 m long, 50 cm wide and 40 cm deep. It is empty. Water flows in at 4 litres per minute. How long does it take to fill the tank?
Question 4 NON-CALCULATOR [3 marks]
A prism has a cross-section in the shape of a trapezium, with parallel sides 4 cm and 6 cm and height 3 cm. The volume of the prism is 225 cm³. Work out the length of the prism.
Answers
Check your answer only once you have written one.
Question 1 [2 marks]
(a) 5 × 4 × 3 = 60 cm³ (b) 2(20 + 15 + 12) = 94 cm²
▸ (a) 60 cm³ B1
▸ (b) 94 cm² B1
Question 2 [5 marks]
(a) ½ × 6 × 8 × 12 = 288 cm³ (b) 2 × 24 + 6 × 12 + 8 × 12 + 10 × 12 = 48 + 72 + 96 + 120 = 336 cm²
▸ (a) ½ × 6 × 8 M1
▸ (a) 288 cm³ A1
▸ (b) Area of 2 triangles, 48 M1
▸ (b) At least two of 72, 96, 120 M1
▸ (b) 336 cm² A1
Question 3 [3 marks]
120 × 50 × 40 = 240 000 cm³ = 240 litres. 240 ÷ 4 = 60 minutes.
▸ Volume with consistent units P1
▸ 240 litres P1
▸ 60 minutes A1
Question 4 [3 marks]
Area of cross-section ½(4 + 6) × 3 = 15 cm². Length 225 ÷ 15 = 15 cm.
▸ 15 cm² M1
▸ 225 ÷ 15 M1
▸ 15 cm A1