WorksheetsMath 2 Shape Volume Perimeter
Total questions: 228
Worksheet time: 19hrs 59mins
Is this looking for Lateral or Total surface area?
Which formula can be used to find the surface area of the label?
What is our Height, H for this shape?
8.7 cm 2
7 cm
9 cm
10 cm
What's the 'Trick' in this problem?
Converting Units
Diameter needs to be halved to find radius
Pythagorean Theorem necessary to find Height
Need to split the shape into two figures
Find the Volume of the Figure
29556.10 m 3
9852.03 m 3
118224.41 m 3
39408.13 m 3
Find the Volume of the figure.
30 in 3
10 in 3
16.66 in 3
12.5 in 3
Find the Volume of the figure.
182.5 ft 3
1825 ft 3
912.5 ft 3
1368.75 ft 3
What is volume?
the outside surface of any object
the amount required to fill a 3D object, it is measured in cubic units
the outer edges of any object added together
Identify this shape.
sphere
circle
cylinder
cone
What shape is this?
triangle
cone
cylinder
sphere
Identify this shape.
cylinder
rectangular prism
sphere
box
What shape is this?
cone
sphere
rectangular prism
cylinder
Which label would NOT be appropriate for volume?
cubic feet
inches3
cm3
square miles
What is the name of the red line?
radius
diameter
circumference
volume
What is the name of the red line?
radius
diameter
circumference
volume
To find volume, you calculate the area of the base and then times the height of the figure to give it 3 dimensions. Find the area of the base of this figure ( A=lw ).
40 in2
30 in2
12 in2
17 in2
You found the area of the base to be 30 in2 , you will multiply that area by the height of the figure to find the total volume. What is the volume of this figure?
160 in2
30 in2
120 in2
17 in2
What is the volume of this prism ( V=lwh )?
9 in3
6 in3
24 in3
11 in3
Calculate the volume of this rectangular prism V=lwh .
420 cm3
24 cm3
89 cm3
84 cm3
How many unit cubes would fit into the figure below?
48 unit cubes
12 unit cubes
30 unit cubes
18 unit cubes
A triangular prism has a base area of 12 cm and a height of 4 cm. What is the volume?
12 cubic centimeters
48 cubic centimeters
24 cubic centimeters
16 cubic centimeters
Find the area of the base and multiply it by the height to find the total volume ( V=21lwh ).
960 cm3
68 cm3
96 cm3
1920 cm3
What does the "B" in the volume formula V = B x h stand for? (a)
410 cm3
420 cm3
402 cm3
401 cm3
Volume: (a) cm3
This shape has a length of 10 mm and a width of 8 mm. If the volume of this shape is 320 mm3. What is the height?
(a)
What SHAPE is the base? What is the AREA of the base (B)?
Rectangle; 40 in2
Triangle; 12 in2
Rectangle; 32 in2
Triangle; 6 in2
Where did Allisen attend college?
University of Arkansas
University of Wisconsin
NYU
UCLA
What is the name of Josh's dog?
Doja Dog
Lucy
Mabel
William IV
What is the volume of this composite figure?
126 in3
150 in3
720 in3
144 in3
What is the volume of this composite figure? HINT: The 16ft is the diameter!
4825.5 ft3
1206.4 ft3
402.1 ft3
3521.8 ft3
What is the volume of this composite figure?
512 cm3
798.08 cm3
646.04 cm3
584.82 cm3
What is the volume of this composite figure?
150 cm3
65 cm3
300 cm3
225 cm3
Which 3D figures make up the following composite solid. Check ALL that apply.
Cone
Cylinder
Pyramid
Rectangular Prism
Which 3D Figures make up the following composite solid. Check ALL that apply.
Sphere (half)
Cylinder (half)
Pyramid
Rectangular Prism
Which 3D figures make up the following composite solid. Check ALL that apply.
Cone
Cylinder
Pyramid
Rectangular Prism
Find the volume of the roll of duct tape. HINT: This is not 2 shapes added together. This time, a figure has been REMOVED.
7.2 cm3
9.5 cm3
15.3 cm3
21.6 cm3
Find the volume of the composite figure.
616 ft3
224 ft3
210 ft3
630 ft3
What is the volume of this figure?
24.6 yd3
12.75 yd3
27.5 yd3
25.5 yd3
Is it possible to put a sphere in a composite figure?
Yes, you can put any solid into a composite.
Maybe, but a sphere would roll away so someone would need to hold it.
Yes, my teacher said you could.
No, spheres don't have any flat surfaces to connect to another solid.
means “put together.” We use this word to describe putting more than one figure together to make a new shape
Quadrilateral
Decompose
Compose
means “take apart.” We use this word to describe taking a figure apart to make more than one new shape
Compose
Area
Decompose
This is a distance (line) that is perpendicular to the base of a parallelogram or triangle and is needed to find the area of those shapes.
Height
Parallelogram
Area
When two lines meet to form a 90° (right angle) we call them _______.
Parallelogram
Perpendicular
This is a FOUR-sided POLYGON with TWO PAIRS OF PARALLEL sides
Quadrilateral
Parallelogram
Height
This is a type of polygon that has 4 sides
Perpendicular
Parallelogram
Quadrilateral
This is the point where two lines meet, like a corner.
perpendicular
formula
vertex
This is a mathematical rule written by using symbols and as an equation, like A=bh
vertex
parallelogra
formula
A = bh
This is the formula to find the area of which shape?
parallelogram
triangle
A = (bh) ÷ 2
This is the formula to find the area of which shape?
parallelogram
triangle
the number of square units that covers a two-dimensional region, without gaps or overlaps
Area
Perpendicular
Decompose
This is a cubic measurement of a 3D shape that tells how much space the object takes up, it is measured in cubic units.
volume
Surface Area
Area
The number of square units that covers all of the faces of a polyhedron (3D figure), without gaps or overlaps is called ________________________________.
units
Surface Area
Area
These shapes have length, width, and depth. These are objects you can pick up such as rectangular prisms, triangular pyramids, and cubes.
2 Dimensional (2D)
3 Dimensional (3D)
These shapes have only length and width . They can be drawn on a piece of paper and include squares, rectangles, triangles, and parallelograms.
2 Dimensional (2D)
3 Dimensional (3D)
This is a three dimensional figure with faces that are polygonal regions.
polygon
polyhedron
Each flat side of a polyhedron is called a ________________________. For example, a cube has six of these.
vertex
face
angle
This is the number that is multiplied to itself in an exponential expression.
exponent
base
this means, “to the second power.”
squared
cubed
exponent
This is a number that tells how many times to multiply the base number to itself in an exponential expression..
cubed
exponent
base
this means, “to the third power.”
squared
cubed
exponent
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
22 cubic inches
63 cubic inches
66 cubic inches
198 cubic inches
What SHAPE is the base? What is the AREA of the base (B)?
Rectangle; 40 in2
Triangle; 12 in2
Rectangle; 32 in2
Triangle; 6 in2
What is the volume of this rectangular prism?
15 cm3
125 cm3
62.5 cm3
25 cm3
Find the volume of the figure. Round to the nearest whole number.
317 units³
635 units³
1,904 units³
952 units³
What 3D shape is this shown in the image?
Rectangular Prism
Triangular Prism
Triangular Pryramid
Rectangle
What 3D shape is this shown in the image?
Rectangular Pyramid
Triangular Prism
Triangular Pryramid
Rectangle
This is a Swiss chocolate bar called a Toblerone. Which 3D shape does it look like?
Triangular pyramid
Rectangular prism
Triangular prism
Parallelogram
If my 3D shape is a Rectangular Pyramid, what is the 2D shape of the base?
Rectangle
Circle
Pyramid
Triangle
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
22 cubic inches
63 cubic inches
66 cubic inches
198 cubic inches
What SHAPE is the base? What is the AREA of the base (B)?
Rectangle; 40 in2
Triangle; 12 in2
Rectangle; 32 in2
Triangle; 6 in2
What is the volume of this rectangular prism?
15 cm3
125 cm3
62.5 cm3
25 cm3
Find the volume of the figure. Round to the nearest whole number.
317 units³
635 units³
1,904 units³
952 units³
What 3D shape is this shown in the image?
Rectangular Prism
Triangular Prism
Triangular Pryramid
Rectangle
What 3D shape is this shown in the image?
Rectangular Pyramid
Triangular Prism
Triangular Pryramid
Rectangle
This is a Swiss chocolate bar called a Toblerone. Which 3D shape does it look like?
Triangular pyramid
Rectangular prism
Triangular prism
Parallelogram
If my 3D shape is a Rectangular Pyramid, what is the 2D shape of the base?
Rectangle
Circle
Pyramid
Triangle
Which statement is true?
What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.
4825.5 ft3
1206.4 ft3
2010.5 ft3
8042.5 ft2
What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.
4825.5 ft3
1206.4 ft3
2010.5 ft3
8042.5 ft2
Find the volume of the composite solid. The 10 is the DIAMETER -- be careful!
892.2 cm3
421 cm3
1262.9 cm3
2676.6 cm3
Find the volume of the following shape.
(What two solids are being added together??)
4155.27 m3
1038.82 m3
804.24 m3
1005.31 m3
Which 3D Figures make up the following composite solid. Click on BOTH!
Cone
Cylinder
Pyramid
Rectangular Prism
You have a globe that has a radius of 11 inches. Find the volume of your globe. V=34πr3
523 cubic inches
16,717 in3
5,575 in3
7,235 in3
Farmer Fred has a silo that looks like the one in the picture. The cylinder part is 20 feet tall with a radius of 6 feet. What is the volume of the entire silo? Round to the nearest whole number.
3167 ft3
2337 ft3
2413 ft3
2714 ft3
What is the volume of this composite figure?
126 in3
150 in3
720 in3
144 in3
What is the volume of this composite figure?
512 cm3
798.08 cm3
646.04 cm3
584.82 cm3
What is the volume of this composite figure?
150 cm3
65 cm3
300 cm3
225 cm3
Which 3D Figures make up the following composite solid. Check ALL that apply.
Sphere (half)
Cylinder (half)
Pyramid
Rectangular Prism
Find the volume of the composite figure.
616 ft3
224 ft3
210 ft3
630 ft3
Is it possible to put a sphere in a composite figure?
Yes, you can put any solid into a composite.
Maybe, but a sphere would roll away so someone would need to hold it.
Yes, my teacher said you could.
No, spheres don't have any flat surfaces to connect to another solid.
Find the volume of the composite figure.
750 ft3
625 ft3
93,750 ft3
450 ft3
Find the volume of the roll of duct tape. HINT: This is not 2 shapes added together. This time, a figure has been REMOVED.
7.2 cm3
9.5 cm3
15.3 cm3
21.6 cm3
Which 3D figures make up the following composite solid. Check ALL that apply.
Cone
Cylinder
Pyramid
Rectangular Prism
What is the total surface area of the cone?
91.374 in2
56.52 in2
169.56 in2
28.3 in2
The figure shows two circles inside a trapezoid. Which procedure will help find the area of the shaded region?
Find the area of the trapezoid and you have your answer.
Add the area of the trapezoid and the area of both circles.
Subtract the areas of both circles from the area of the trapezoid.
Multiply the area of the trapezoid with the areas of both circles.
Mason needs to purchase new glass for the window pictured here. How many square feet of glass will he need?
12.6 ft2
11.4 ft2
25.9 ft2
19.5 ft2
A local restaurant places tissue-paper liners in a basket for rolls as shown in the picture. How many square centimeters of tissue paper is needed to make one liner?
216.7 cm2
257.9 cm2
379.3 cm2
408.1 cm2
What is the area of the shaded region?
Note: the cut-out is a quarter of a circle
4.8 cm2
5.3 cm2
8.4 cm2
7.1 cm2
What is the area of the shaded region?
98.7 cm2
119.3 cm2
122.4 cm2
158.5 cm2
What is the area of this figure?
208.5 m2
109.5 m2
415.7 m2
322.4 m2
What is the area of the shaded region?
67 cm2
112 cm2
96 cm2
80 cm2
What is the area of the shaded region?
16 cm2
12.9 cm2
22.4 cm2
15.8 cm2
What is the area of the shaded region?
47 cm2
122 cm2
32 cm2
60 cm2
What is the area of the shaded region?
23.1 cm2
5.1 cm2
17.4 cm2
37.3 cm2
What is the area of this figure?
208.5 m2
109.5 m2
415.7 m2
322.4 m2
What is the area of the shaded region?
67 cm2
112 cm2
96 cm2
80 cm2
What is the area of the shaded region?
16 cm2
12.9 cm2
22.4 cm2
15.8 cm2
What is the area of the shaded region?
23.1 cm2
5.1 cm2
17.4 cm2
37.3 cm2
What is the area of the unshaded region?
117 cm2
33.5 cm2
58.5 cm2
25 cm2
What is the area of the unshaded region? (a)
16 ft2
32 ft2
8 ft2
Determine the area of the composite shape
(a)
Find the area of the figure.
31 ft2
40 ft2
60 ft2
80 ft2
63 cm2
127.2 cm2
396 cm2
586.2 cm2
63 cm2
127.2 cm2
396 cm2
586.2 cm2
Find the area.
50 units2
200 units2
250 units2
300 units2
What is the area of this circle? Use the pi function on the calculator. Round your answer to two decimal places.
82.13
78.54
314.16
170.12
What are the two missing side lengths?
6 cm and 2 cm
4 cm and 7 cm
9 cm and 7 cm
6 cm and 10 cm
Look at the composite figure. How could you find the perimeter of the figure?
Add the four side lengths shown in the diagram.
Divide the figure into two rectangles. Find the perimeter of each rectangle. Add the two perimeters.
Find the two missing side lengths and add them to the four side lengths shown in the diagram.
Multiply the four side lengths shown in the diagram.
Find the perimeter
14 m
43.96m
176 m
191.96 m
Find the perimeter
14 m
43.96m
176 m
191.96 m
Look at the composite figure. How could you find the perimeter of the figure?
Add the four side lengths shown in the diagram.
Divide the figure into two rectangles. Find the perimeter of each rectangle. Add the two perimeters.
Find the two missing side lengths and add them to the four side lengths shown in the diagram.
Multiply the four side lengths shown in the diagram.
What are the two missing side lengths?
6 cm and 2 cm
4 cm and 7 cm
9 cm and 7 cm
6 cm and 10 cm
What is the area of this circle? Use the pi function on the calculator. Round your answer to two decimal places.
82.13
78.54
314.16
170.12
What shapes are in this figure?
Rectangular Prism and Triangular Prism
Square and Triangle
Cube and Triangular Prism
Which equation can be used to find the volume of the composite figure?
360 ⋅ 32 = 392 in3
225 + 60 = 285 in3
21⋅8⋅4⋅9⋅5⋅5=3600 in3
225 + 30 = 255 in3
Which equation could help to find the volume of this composite figure.
100 + 140 = 240 cm3
7 + 2 + 20 + 10+ 5 = 44cm3
200 + 140 = 340 cm3
7 ⋅10 ⋅ 2 ⋅ 20 ⋅ 5 = 14000cm3
Composite figures are objects that only have one shape. Like a rectangle for example.
True
False
Find the Volume
150.5in3
7525 in2
21.5in3
10.8 in3
Find the volume of the triangular prism
110cm cubed
30 cm cubed
132 cm cubed
66 cm cubed
The side lengths on a Cube are all equal to each other.
True
False
Find the volume.
73.8 ft3
19.7 ft3
147.6 ft3
147.6 ft2
19.7ft2
Find the volume of a cube with a side length of 11 in
21 inches cubed
33 inches cubed
1331 inches cubed
11 inches cubed
Find the volume of the triangular prism
110cm cubed
30 cm cubed
132 cm cubed
66 cm cubed
Find the Volume
150.5in3
7525 in2
21.5in3
10.8 in3
Composite figures are objects that only have one shape. Like a rectangle for example.
True
False
Once you have each shapes volume, what are you supposed to with them in order to get volume of the composite figure?
Subtract them
Divide them
Multiply them
Add them
Which equation could help to find the volume of this composite figure.
100 + 140 = 240 cm3
7 + 2 + 20 + 10+ 5 = 44cm3
200 + 140 = 340 cm3
7 ⋅10 ⋅ 2 ⋅ 20 ⋅ 5 = 14000cm3
What shapes are in this figure?
Rectangular Prism and Triangular Prism
Square and Triangle
Cube and Triangular Prism
Which equation can be used to find the volume of the composite figure?
360 ⋅ 32 = 392 in3
225 + 60 = 285 in3
21⋅8⋅4⋅9⋅5⋅5=3600 in3
225 + 30 = 255 in3
Find the perimeter of the composite figure.
15.7 in.
15.23 in.
31.7 in.
21.7 in2
Find the perimeter of the composite figure.
26m
34m2
19m
Find the area of the composite figure.
28m
34m2
40m2
Find the perimeter of the composite figure.
15.7 in.
15.23 in.
31.7 in.
21.7 in2
Find the area of the composite figure.
19.625 in.2
59.625 in.2
40 in.2
21.7 in2
Find the area of the composite shape.
24 units2
20 units2
21 units2
The diagram shows the shape of the green turf used in a miniature golf course. How much green turf will be needed to cover the course?
50 ft2 of green turf
140 ft2 of green turf
100 ft2 of green turf
Find the area of the shaded region.
343 in2
392 in2
294 in2
The rectangular pool measures 22 feet by 12 feet and has a hot tub in the middle of it. The bottom of the pool needs to be covered in tiles.
What is the area that needs to be covered in tiles?
264 ft2
113.04 ft2
150.96 ft2
377.04 ft2
The rectangular pool measures 22 feet by 12 feet and has a hot tub in the middle of it. The bottom of the pool needs to be covered in tiles.
If the tiles cost $7.29 per square foot, how much will it cost to tile the pool?
$1,100.4984
$1,100.50
$1,100.49
