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5.01 Surface area of prisms

Worksheet
Surface area of prisms
1

Find the surface area of the following cubes:

a
b
2

Find the surface area of a cube with a side length of 4\text{ cm}.

3

Find the side length of a cube with the following surface areas, correct two decimal places:

a
8166 \text{ cm}^{2}
b
600 \text{ cm}^{2}
4

A cube has surface area of 1032 \text{ cm}^{2}.

a

Find the area of one of the square faces.

b

Hence, find the length of one side of the cube, correct to two decimal places.

5

Find the surface area of the following rectangular prisms:

a
b
c
6

Find the surface area of the following triangular prisms:

a
b
c
7

Find the surface area of the following trapezoidal prisms:

a
b
8

Find the surface area of the following prism, correct to two decimal places:

9

For each of the following triangular prisms:

i

Find the value of x.

ii

Find the surface area.

a
b
10

Consider the following prism:

a

Find the height, h, correct to two decimal places.

b

Find the surface area, correct to one decimal place.

Applications
11

Laura is building a storage chest in the shape of a rectangular prism. The chest will be 55\text{ cm} long, 41\text{ cm} deep, and 39\text{ cm} high. Find the surface area of the chest.

12

A birthday gift is placed inside the box shown, which has the shape of a rectangular prism.

Find the minimum amount of wrapping paper needed to cover this box.

13

A swimming pool has the shape of a trapezoidal prism 14\text{ m} long and 6 \text{ m} wide. The depth of the water ranges from 1.2\text{ m} to 2.5 \text{ m}, as shown in the diagram.

The walls and base of the pool are going to be tiled. Calculate the total area inside the pool that is to be tiled. Round your answer to one decimal place.

14

The high rise building shown has vertical sides made entirely from glass panels:

How many square metres of glass make up the building's walls?

15

Consider the high rise building shown below:

a

Find the surface area of the walls of the building.

b

If 2\% of the area of the walls is taken up by metal frames and the rest is glass, how many square metres of glass are used on the walls?

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Outcomes

MS11-4

performs calculations in relation to two-dimensional and three-dimensional figures

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