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WorksheetsUnit 6: Surface Area, Volume, & Tessellations
Total questions: 166
Worksheet time: 13hrs 37mins
How many FACES does a rectangular prism have?
4
5
6
8
length = 16 m
height = 10 m
width = 11 m
length = 9 m
height = 10 m
width = 12 m
Mrs. Jarrell is wrapping a present for her puppy's birthday. The box is shaped like a cube with sides that are 13 inches long. How much wrapping paper is she going to need to use to wrap her puppy's present?
1014 in2
1004 in2
676 in2
1150 in2
Coach Hanf wants to repaint her daughter's room. The room's dimensions are 10 feet long and 11 feet wide. The room has 8 foot ceilings. How much paint is she going to need to paint the walls?
556 ft2
880 ft2
336 ft2
446 ft2
What is the total surface area of the figure shown? (Base is shaded dark)
73.5 m2
162.94 m2
192.34 m2
110.94 m2
Find the surface area of a cube with side length 12 m.
144 m2
36 m2
864 m2
216 m2
What is the surface area? (6 in by 3 in by 5 in prism)
90 in2
180 in2
126 in2
96 in2
If the measurements of a Rectangular Prism are 4,5, and 6; what could be it total surface area?
2 (4x5) + 2(4x6) + 2(5x6) = 148 square units
2 (4x5) + 2(4x4) + 2(5x5) = 122 square units
How many Faces does a Triangular Prism have?
3
6
9
5
Find the surface area of the triangular prism.
356 in2
348 in2
336 in2
340 in2
Find the lateral surface area of the figure shown.
672 cm2
480 cm2
576 cm2
864 cm2
What is the difference in LATERAL surface area of the prisms shown?
612 cm2
108 cm2
720 cm2
144 cm2
Find the total surface area of the figure shown.
120 cm2
216 cm2
130 cm2
168 cm2
100 mm2
132mm2
114 mm2
120 mm2
184 mm2
186 mm2
172 mm2
196 mm2
What is surface area?
The amount you can put inside an object.
the sum of all the areas of all the shapes that cover the surface of the object.
The distance around a figure.
The inside space taken by a two-dimensional figure.
The radius is ___________ of the diameter?
one-fourth
one - half
twice
three times
Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Use 3.14 for π.
Is this looking for Lateral or Total surface area?
Lateral Surface Area
Total Surface Area
Can't be Determine
Not Enough Information is Given
Find the total surface area of the cylinder.
Don't forget to divide the diameter by 2 to get the radius.
25.13 square cm
75.40 square cm
50.27 square cm
100.53 square cm
Find the lateral surface area of the figure. Don't forget to divide the diameter by 2 to get the radius.
456 m2
1444 m2
1245 m2
816 m2
Find the lateral surface area of the prism. Don't forget to divide the diameter by 2 to get the radius.
100.53 square inches
351.86 square inches
251.33 square inches
50.27 square inches
Find the total surface area of the cylinder.
Don't forget to divide the diameter by 2 to get the radius.
25.13 square cm
75.40 square cm
50.27 square cm
100.53 square cm
Find the total Surface Area of the cylinder. Round to the nearest tenth.
3015.9 cm2
1155.5 cm2
578.1 cm2
779.1 cm2
Find the total surface area. Use 3.14 for pi. The diameter is 4. Round to the nearest tenths.
138.16
113
25.1
226.1
Find the lateral surface area. Use 3.14 for pi. The diameter is 2. Round to the nearest tenths.
62.8
37.7
6.3
31.4
Find the total surface area. Use 3.14 for pi. Round to the nearest tenths.
45.2
100.5
55.3
155.7
Find the lateral surface area. Use 3.14 for pi. Round to the nearest tenths.
251.2
653.1
2009.6
401.9
Find the lateral surface area. Use 3.14 for pi. The diameter is 18. Round to the nearest tenths.
7121.5
1780.4
395.6
197.8
Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π
175.84 mm2
709.89 mm2
75.36 mm2
100.48 mm2
Find the surface area of the cylinder with a radius 1 in. and a height 2 in.
12.56 in2
6.28 in2
39.44 in2
18.84 in2
314
826.6 cm3
What is the volume of the cylinder? Approximate your answer by rounding to the nearest tenth.
60 km3
942.5π km3
942 km3
300 km3
188.5 km3
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
7230 m3
4,521.6 m3
1130.4 m3
907 m3
1519.8
Find volume of the cylinder
1,416.1 yd3
62,310.2 yd3
2,832.3 yd3
15,577.5 yd3
What is the difference in volume, in cm3, between M and N?
47
53
144
197
A cuboid has ---------- faces
4
8
6
12
A cube has a side length 5 cm. what is length of all edges together
60
20
40
10
what is the area front side of this figure ?
25
10
20
60
The volume of the cuboid is ... unit cubes.
128
120
112
108
A cube-shaped aquarium is only HALF-FILLED. The edge of the aquarium is 40 cm. So, the volume of the water inside the aquarium is ... mL.
64.000 mL
32.000 mL
16.000 mL
8.000 mL
The rectangular tank shown is partially filled with water. The volume of water inside the tank is ... cm3
(WRITE THE NUMBER WITHOUT ANY SPACE)
(a)
A rectangular tank measuring 27 m by 25 m by 22 m is partially filled with water. The volume of water inside the tank is ... m3
(WRITE THE NUMBER ONLY WITHOUT ANY SPACE)
(a)
Calculate the Volume
410 cm3
420 cm3
402 cm3
401 cm3
Each side of this ice cube measures 20 cm. What is the volume of the ice cube?
6000 cm3
8000 cm3
600 cm3
60 cm3
784 m3
748 mm3
847 mm3
880 m3
what is the volume of this prism?
72
27
1.5
272
What is the volume of this prism?
45 cubic units
48 cubic units
54 cubic units
96 cubic units
A triangular prism has a base area of 12 cm and a height of 4 cm. What is the volume?
3 cubic centimeters
48 cubic cemtimeters
24 cubic centimeters
124 cubic centimeters
Find the volume of the figure. Round to the nearest tenth.
80 cm³
160 cm3
42 cm3
40 cm³
Lucia has a triangular prism that has a length of 6 cm, a width of 4 cm, and a height of 8cm. What is the volume?
96cm³
54cm³
80cm³
24cm³
Find the Volume of this triangular prism.
960 cm 3
240 cm 3
960 cm 2
1920 cm 3
This triangular planting trough is 3.5 m long, 1.2 m wide at the top, and 0.75 m deep. How much soil will it hold?
4 cubic m
3.15 cubic m
1.575 cubic m
0.5 cubic m
A triangular prism has a volume of 400 cm3 and a base area of 25 cm2. What is the height of the prism?
10 000 cm
5 000 cm
8 cm
16 cm
Find the volume of the triangular prism.
62 m3
60 m3
64 m3
66 m3
Find the volume.
22 321 cm3
12 541 cm3
21 432 cm3
10 716 cm3
Julie uses a tent like the one shown to go camping with friends. The tent is 210 cm tall, 150 cm wide and 400 cm long. Calculate the volume of the tent.
12 600 000 cm3
8 400 000 cm3
6 300 000 cm3
150 000 cm3
A tessellation is...
a repeating pattern
a repeating pattern with no over laps
a repeating pattern with no gaps or over laps
a repeating pattern with no gaps
is this an example of tessellation
yes
no
This figure is a tessellation.
True
False
The three polygons that can make a regular tessellation are the triangle, the square and the ___________.
pentagon
octagon
hexagon
decagon
It is a fact that any triangle and any quadrilateral can cover the plane.
True
False
In a tessellation, the measures of the angles that meet at each vertex must add up to 360°.
True
False
Is this a semi-regular tessellation?
Yes
No
To decide if given figures will tessellate, we first look at the shapes' _____________________.
number of sides
interior angles
number of vertices
size
This figure can always be used to tessellate, because its sum of internal angles is 360°.
Triangle
Quadilateral
Pentagon
hexagon
Would the octagon and the equilateral triangle tessellate?
Yes; two octagons and one triangle meet at each vertex; 150+150+60=360
Yes; two octagons and one triangle meet at each vertex
135+135+60=360
Yes; one octagon and two triangles meet at each vertex
135+60+60=360
No; there is no combination of 135 and 60 that adds up to exactly 360
Non-polygonal figures can also make tessellations.
Yes,they can
No, they cant
Can this be considered a tessellation where figures were reflected?
Yes,of course
Definitively not.
Which of these images represents a tessellation?
The three polygons that can make a regular tessellation are the triangle, the square and the ___________.
pentagon
hexagon
octagon
decagon
What shape makes up the tessellation in the image?
Triangles
Squares
Hexagons
Pentagons
In a tessellation, the measures of the angles that meet at each vertex must add up to 360°.
True
False
What shapes make up the tessellation in the image?
Triangles and Squares
Triangles and Rectangles
Triangles and Triangles
Triangles and Hexagons
To decide if given figures will tessellate, we first look at the shapes' _____________________.
number of sides
interior angles
number of vertices
size
This figure can always be used to tessellate, because its sum of internal angles is 360°.
Triangle
Quadrilateral
Pentagon
Hexagon
135+135+90=360
135+135+60=360
135+60+60=360
Non-polygonal figures can also make tessellations.
Yes, they can.
No, they can't.
M.C. Escher was an artist that used rotation, reflection and translation to make art. Are these pieces considered tessellations?
Yes, they fill the gaps with no overlaps.
No, they have gaps and overlaps.
Can you find tessellations in nature?
Yes, I can find them in nature.
No, I can not find them in nature.
Which of these images represents a tessellation?
The three polygons that can make a regular tessellation are the triangle, the square and the ___________.
pentagon
hexagon
octagon
decagon
What shape makes up the tessellation in the image?
Triangles
Squares
Hexagons
Pentagons
In a tessellation, the measures of the angles that meet at each vertex must add up to 360°.
True
False
What shapes make up the tessellation in the image?
Triangles and Squares
Triangles and Rectangles
Triangles and Triangles
Triangles and Hexagons
To decide if given figures will tessellate, we first look at the shapes' _____________________.
number of sides
interior angles
number of vertices
size
This figure can always be used to tessellate, because its sum of internal angles is 360°.
Triangle
Quadrilateral
Pentagon
Hexagon
135+135+90=360
135+135+60=360
135+60+60=360
Non-polygonal figures can also make tessellations.
Yes, they can.
No, they can't.
M.C. Escher was an artist that used rotation, reflection and translation to make art. Are these pieces considered tessellations?
Yes, they fill the gaps with no overlaps.
No, they have gaps and overlaps.
Can you find tessellations in nature?
Yes, I can find them in nature.
No, I can not find them in nature.
