topic badge
iGCSE (2021 Edition)

10.12 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?

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

0607C7.4A

Surface area of prisms, cuboids, and cylinders.

0607E7.4A

Surface area of prisms, cuboids, and cylinders.

What is Mathspace

About Mathspace