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1.04 Surface area of prisms

Worksheet
Identify prisms and pyramids
1

State whether each of the following solids are a prism or a pyramid:

a
b
c
d
e
f
g
h
2

State whether the following nets would form a prism or a pyramid:

a
b
c
d
e
f
Surface area of prisms
3

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

a

Sketch the net of the given cube.

b

Find the surface area of the cube.

4

Consider the following rectangular prism:

a

Sketch the net of the prism.

b

Find the surface area of the rectangular prism.

5

What is the surface area of a cube with side length 4\text{ cm}?

6

Find the surface area of the following rectangular prisms:

a
b
c
d
7

Find the surface area of the following cubes:

a
b
8

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

9

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

a
b
c
d
e
f
g
h
i
j
10

Consider the following figure:

a

Find the value of x.

b

Find its surface area.

11

Consider the following figure:

a

Find the find the value of x correct to one decimal place.

b

Find its surface area.

12

Consider the following trapezoidal prism:

a

Find the value of y.

b

Find its surface area.

Applications
13

Consider the swimming pool with the following dimensions:

Calculate the area inside the pool that is to be tiled correct to one decimal place.

14

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.

15

A birthday gift is placed inside the box shown:

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

16

Both of the following popcorn bags are designed to carry 1680\text{ cm}^3 of popcorn. Assume there's minimal wastage of space when the popcorn is packed into each bag.

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?

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Outcomes

ACMEM095

find the surface area of familiar solids, including cubes, rectangular and triangular prisms, spheres and cylinders

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