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Exploring Surface Area and Net

Total questions: 10

Worksheet time: 13mins

Name
Class
Date
1.

Where is the cube's front?

2.

Where is the cube's top?

3.

Where is the cube's back?

4.

Where is the cube's bottom?

5.

Where are the cube's sides?

6.

Using what we know about how to find the area of a polygon, how do you think you would find the surface area of a prism?

a)

Measure the sides of each face on the prism then add them all

b)

Find the volume of the prism then multiply it times the number of faces

c)

Find the area of each face then multiply it by the number of faces on the prism

d)

Find the area of each face then add them all

7.

What is the formula you would use to find the surface area of each face on a rectangular prism

a)

v=lwhv=l\cdot w\cdot h

b)

a=lw  or  a= bha=l\cdot w\ \ or\ \ a=\ b\cdot h

c)

a=12BHa=\frac{1}{2}BH

d)

a=12h(b1+b2)a=\frac{1}{2}h\left(b_1+b_2\right)

8.

The individual units in the Rubiks cube are 1 inch on each side. Based on this information take a guess at what the surface area of the cube would be.

Answer: (a)   units2

9.

The rectangular prism's top and bottom bases have an area of ​ (a)   cm2. It's sides are ​ (b)   cm2. It's front and back are ​ (c)   cm2. The rectangular prism has a surface area of ​​ (d)   cm2.

Choose from the below words
36
12
27
150
10.

If you were trying to find out the surface area of a triangular prism, what steps would you do. Reorder the steps from first to last, starting with finding the area of one triangle.

a)

a=bh2a=\frac{bh}{2}

a=4×3.52a=\frac{4\times3.5}{2}

a=142a=\frac{14}{2}

a=7 in2a=7\ in^2

b)

7x2=147x2=14 in2

or
7+2=147+2=14 in2

c)

a=lwa=lw

a=9×4a=9\times4

a=36 in2a=36\ in^2

d)

36×3=108 in236\times3=108\ in^2

or

36+36+36=108 in236+36+36=108\ in^2

e)

14+108=122 14+108=122\

therefore the surface area of the triangular prism =

122 in2

1)
2)
3)
4)
5)