Snap Cubes, Prisms, and Surface Area Oh My!
- The “Sweet Notions” company wants a box to hold 24 sugar cubes. Using 24 snap cubes to represent the sugar cubes, create a rectangular prism (box) that could hold the 24 sugar cubes. Make a sketch of your box below. Label the dimensions.
- Look at the boxes made. How are the boxes the same?
______
- How are the boxes different?
______
The amount of material needed to make or cover a box depends on the box’s surface area. The surface area of a space-shape is the sum of the areas of each face – top, bottom and sides.
- What is the surface area of the box you built? ______
In this investigation, you will determine the surface area of several boxes. Record your information on the attached lab sheet.
Snap Cubes, Prisms, and Surface Area Oh My!
Record Sheet Name: ______
Rectangular Prism Color / Sketch(include dimensions) / Surface Area
(include calculations)
Red
Orange
Yellow
Green
White
PracticeName: ______
Using the strategies from the investigation, give the dimensions of each figure below and then find the surface area. Show how you got your answer.
A / B / CD / E / F
Surface Area Additional Practice Name: ______
Find the surface area of each figure below. Show your work!
1.Surface Area = ______units2 / 2.
Surface Area = ______ft2
3.
Surface Area = ______inches2 / 4.
Surface Area = ______inches2
1. A cereal box is 7 in. wide, 10 in. high and 3 in. deep. How many square inches of cardboard are needed to make this box?
Surface Area = ______inches2 / 2. A gift is wrapped in a box measuring 2 inches high, 12 inches long, and 8 inches wide. What is the least amount of wrapping paper that will be needed to cover the box?
Surface Area = ______inches2
3. How much
cardboard is used to
make the tissue box
at the right?
Surface Area = ______inches2 / 4. You are making the jewelry box shown at the right for your mother. How many square centimeters of wood will be needed to make the box?
Surface Area = ______cm2
Snap Cubes, Prisms, and Surface Area Oh My!Answer Key
- The “Sweet Notions” company wants a box to hold 24 sugar cubes. Using 24 snap cubes to represent the sugar cubes, create a rectangular prism (box) that could hold the 24 sugar cubes. Make a sketch of your box below. Label the dimensions.
- Look at the boxes made. How are the boxes the same?
All have rectangles or squares for faces. The opposite sides are the same size.
- How are the boxes different?
______
The amount of material needed to make or cover a box depends on the box’s surface area. The surface area of a space-shape is the sum of the areas of each face – top, bottom and sides.
- What is the surface area of the box you built? Answer will vary
In this investigation, you will determine the surface area of several boxes. Record your information on the attached lab sheet.
Snap Cubes, Prisms, and Surface Area Oh My! Answer Key
Record Sheet Name: ______
Rectangular Prism Color / Sketch(include dimensions) / Surface Area
(include calculations)
Red / / 20 x 2 = 40 units2
8 x 2 = 16 units2
10 x 2 = 20units2
76 units2
Orange / / 1 x 2 = 2 units2
10 x 2 = 20 units2
10 x 2 = 20units2
42 units2
Yellow / / 3 x 2 = 6 units2
15 x 2 = 30 units2
5 x 2 = 10units2
46 units2
Green / / 6 x 2 = 12 units2
12 x 2 = 24 units2
8 x 2 = 16 units2
52 units2
White / / 9 x 2 = 18 units2
9 x 2 = 18 units2
9 x 2 = 18 units2
54 units2
PracticeAnswer KeyName: ______
Using the strategies from the investigation, give the dimensions of each figure below and then find the surface area. Show how you got your answer.
A12 x 2 = 24 units2
8 x 2 = 16 units2
6 x 2 = 12 units2
52 units2 / B
1 x 2 = 2 units2
7 x 2 = 14 units2
7 x 2 = 14 units2
30 units2 / C
20 x 2 = 40 units2
5 x 2 = 10 units2
4 x 2 = 8 units2
58 units2
D
20 x 2 = 40 units2
20 x 2 = 40 units2
25 x 2 = 50units2
130 units2 / E
4 x 2 = 8 units2
4 x 2 = 8 units2
16 x 2 = 32 units2
48 units2 / F
8 x 2 = 16 units2
8 x 2 = 16 units2
4 x 2 = 8 units2
40 units2
Surface Area Additional Practice Answer Key Name: ______
Find the surface area of each figure below. Show your work!
1.20 x 2 = 40 units2
10 x 2 = 20 units2
8 x 2 = 16 units2
76 units2
Surface Area =76 units2 / 2.
48 x 2 = 96 ft2
12 x 2 = 24 ft2
16 x 2 = 32 ft2
152 ft2
Surface Area = 152 ft2
3.
8 x 2 = 16 in2
8 x 2 = 16 in2
16 x 2 = 32 in2
64 in2
Surface Area = 64 inches2 / 4.
24 x 2 = 48 in2
72 x 2 = 144 in2
108 x 2 = 216in2
408 in2
Surface Area = 408 inches2
1. A cereal box is 7 in. wide, 10 in. high and 3 in. deep. How many square inches of cardboard are needed to make this box?
70 x 2 = 140 in2
21 x 2 = 42 in2
30 x 2 = 60 in2
242 in2
Surface Area = 242 inches2 / 2. A gift is wrapped in a box measuring 2 inches high, 12 inches long, and 8 inches wide. What is the least amount of wrapping paper that will be needed to cover the box?
96 x 2 = 192 in2
16 x 2 = 32 in2
24 x 2 = 48 in2
272 in2
Surface Area = 272 inches2
3. How much
cardboard is used to
make the tissue box
at the right?
15 x 2 = 30 in2
45 x 2 = 90 in2
27 x 2 = 54 in2
174 in2
Surface Area = 174 inches2 / 4. You are making the jewelry box shown at the right for your mother. How many square centimeters of wood will be needed to make the box?
32 x 2 = 64 cm2
12 x 2 = 24 cm2
24 x 2 = 48 cm2
136 cm2
Surface Area = 136 cm2