iGCSE (2021 Edition)

12.14 Surface area of prisms

Worksheet

Surface area of prisms

1

Consider the following cube with a side length of 6\text{ cm}:

a

Which of the following nets match the given cube?

A

B

C

D

b

Find the area of the cube's net.

c

Find the surface area of the cube.

2

Consider the following rectangular prism:

a

Which of the following nets match the given rectangular prism?

A

B

C

D

b

Find the area of the prism's net.

c

Find the surface area of the rectangular prism.

3

Find the surface area of the following rectangular prisms:

a

b

c

d

4

Find the surface area of the following cubes:

a

b

5

Find the side length of a cube that has a surface area of 384\text{ cm}^2.

6

Find the surface area of the following triangular prisms:

a

b

c

d

7

Consider the following figure:

a

Find the value of x.

b

Find its surface area.

8

Consider the following figure:

a

Find the find the value of x.

b

Find its surface area.

9

Find the surface area of the following prisms. Round your answer to two decimal places when necessary.

a

b

c

d

10

Consider the following trapezoidal prism:

a

Find the value of y correct to one decimal place.

b

Find its surface area.

11

Consider the following trapezoidal prism:

Find its surface area.

Applications

12

Consider the swimming pool with the following dimensions:

Calculate the area inside the pool that is to be tiled. Round your answer to two decimal places.

13

Sally is building a storage chest in the shape of a rectangular prism. The chest will be 93\text{ cm} long, 80\text{ cm} deep, and 18\text{ cm} high. Find the surface area of the chest.

14

A birthday gift is placed inside the box shown:

Find the minimum amount of wrapping paper needed to wrap this gift?

15

Both of the following popcorn bags are designed to carry 735\text{ cm}^3 of popcorn.

a

Find the height h of bag A.

b

Find the height h of bag B.

c

Find the surface area of bag A.

d

Find the surface area of bag B.

e

Which bag should be used to reduce the amount of paper needed?

Outcomes

0580C4.1

Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets.

0580E4.1

Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence. Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets.

0580C5.4A

Carry out calculations involving the surface area of a cuboid, prism and cylinder.

0580E5.4A

Carry out calculations involving the surface area of a cuboid, prism and cylinder.

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