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CanadaON
Grade 7

10.07 Surface area of prisms and cylinders

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 surface area of the following triangular prisms:

a
b
c
d
Surface area of cylinders
6

Consider the following cylinder together with its net:

a

Find the circumference of the circular base. Round your answers to two decimal places.

b

Hence, find the area of the curved face of the cylinder. Round your answers to two decimal places.

7

For each of the following pair of cylinders and their nets, find the curved surface area of the cylinder. Round your answers to two decimal places.

a
b
8

For each of the following cylinders:

i

Find the curved surface area of the cylinder. Round your answers to two decimal places.

ii

Find the total surface area of the cylinder. Round your answers to two decimal places.

a
b
c
d
9

Find the surface area of the following cylinders:

Round your answers to two decimal places.

a
b
c
d
e
f
10

Consider the following cylinder:

Explain how to find the surface area of the cylinder in square millimetres, rounded to the nearest whole number.

Applications
11

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.

12

A birthday gift is placed inside the box shown:

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

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Outcomes

7.E2.6

Represent cylinders as nets and determine their surface area by adding the areas of their parts.

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