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4.12F Surface Area: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 60 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A cube has side length 4 cm. Work out the total surface area of the cube.

(Total for Question 1 is 1 mark)

A rectangular prism measures 5 cm by 3 cm by 2 cm. Calculate its total surface area.

(Total for Question 2 is 2 marks)

A cuboid has dimensions 8 m by 2 m by 1 m. Work out the total surface area of the cuboid.

(Total for Question 3 is 2 marks)

A small wooden cube has side 3 cm. Find the area of two faces of the cube.

(Total for Question 4 is 1 mark)

A storage box without its lid is a cuboid 10 cm by 6 cm by 4 cm. Calculate the surface area of the box excluding the lid (include the base and the four sides).

(Total for Question 5 is 2 marks)

A triangular prism has a triangular cross section with base 3 cm and height 4 cm. The prism is 10 cm long. Calculate the total surface area of the prism (include both triangular ends and the three rectangular faces).

(Total for Question 6 is 4 marks)

The net of a cube shows six identical squares. Each square has side 5 cm. Use the net to find the total surface area of the cube.

(Total for Question 7 is 1 mark)

A cuboid has dimensions 4 cm by 3 cm by h cm. The total surface area is 94 cm². Find the value of h.

(Total for Question 8 is 2 marks)

A box measures 2 cm by 3 cm by 4 cm. It is scaled up by a linear factor of 2 (all dimensions are multiplied by 2). Work out the total surface area of the larger box.

(Total for Question 9 is 2 marks)

Two identical cubes of side 3 cm are glued together on one face so they form a single solid. Find the total surface area of the combined solid.

(Total for Question 10 is 3 marks)

Mark scheme · 4.12F Surface Area: Foundation Tier Practice

Question 1

B1 96 cm² cao
Answer: 96 cm²

Question 2

M1 correct method, e.g. 2(lw + lh + wh) or listing faces 5x3, 5x2, 3x2 and doubling
A1 62 cm² cao
Answer: 62 cm²

Question 3

M1 use 2(lw + lh + wh) = 2(8*2 + 8*1 + 2*1) or equivalent
A1 52 m² cao
Answer: 52 m²

Question 4

B1 18 cm² cao
Answer: 18 cm²

Question 5

M1 method for lateral area + base: 2(lh + wh) + lw or equivalent
A1 188 cm² cao
Answer: 188 cm²

Question 6

M1 area of one triangle: 1/2 * 3 * 4 = 6 cm² or equivalent
M1 rectangular faces areas: 3*10, 4*10 and hypotenuse*10 with hypotenuse 5 (3-4-5 triangle) giving 30, 40 and 50
M1 add two triangular ends: 2 * 6 = 12 or include both ends in total
A1 132 cm² cao
Answer: 132 cm²

Question 7

B1 150 cm² cao
Answer: 150 cm²

Question 8

M1 use 2(lw + lh + wh) = 94 leading to 2(12 + 4h + 3h) = 94 or equivalent setup
A1 h = 5 cm cao
Answer: 5 cm

Question 9

M1 use scale factor squared: original SA = 52 cm², new SA = 4 * 52 or show calculation on new dimensions 4x6x8
A1 208 cm² cao
Answer: 208 cm²

Question 10

M1 area of one cube = 6*3² = 54, two cubes give 108 or method for counting faces
M1 subtract the two faces that become internal (2 * 9 = 18) or recognise shared face removes both faces
A1 90 cm² cao
Answer: 90 cm²

Surface Area: Foundation Tier Practice - Worksheets, Questions and Revision