WorksheetsVolume and surface area
Total questions: 171
Worksheet time: 10hrs 44mins
Find the volume
1912 cm^3
2785 cm^3
3454 cm^3
3687 cm^3
Find the volume. Round to nearest hundredth
340.17 ft^3
450.13 ft^3
130.18 ft^3
440.17 ft^3
Find the volume. Round to nearest tenth
533.9 cm^3
706.5 cm^3
732.1 cm^3
666.8 cm^3
In surface area formulas, what does B represent?
bottom
perimeter of the base
area of the base
base
What does "P" stand for in the surface area formulas?
Perimeter of the area
Parallel
Perimeter of the Base
Pi
What is volume?
The measure of the amount of space inside of an object
The measure of all the areas on the outside of an object
What is surface area?
The measure of the amount of space inside of a solid figure
The measure of all the areas on the outside of an object
Find the surface area of this cube.
84 cm2
420 cm2
343 cm2
294 cm2
V=πr2h
length = 10 m
height = 4 m
width = 3 m
length = 10 m
height = 4 m
width = 3 m
Find the volume of the cylinder.
282.7
516.2
133
214
Find the volume of the cylinder. Round to the nearest tenth.
124.6 in3
88 in3
97.5 in3
78.9 in3
Find the volume of the cone. Round your answers to the nearest tenth.
113.1 in3
37.7 in3
339.3 in3
Find the volume of the cone. Round your answers to the nearest tenth.
320.4 in3
314.2 in3
942.5 in3
267.4 in3
Find the volume of the given sphere.
1,563.5 cubic in.
1,325.5 cubic in.
1,129.9 cubic in.
1,819.6 cubic in.
Find the volume. Round to the nearest tenth.
5575.3 cm3
506.8 cm3
126.65 cm3
1393.11 cm3
Find the surface area.
48 square inches
88 square inches
64 square inches
76 square inches
Find the surface area.
161 square feet
75 square feet
1,700 square feet
186 square feet
Find the surface area.
471 sq cm
314 sq cm
157 sq cm
296 sq cm
Find the surface area.
15 m2
18 m2
16 m2
20 m2
Find the volume.
55 yd3
22 yd3
121 yd3
330 yd3
Find the volume.
1440 cm3
720 cm3
60 cm3
180 cm3
Find the volume.
216 yd3
72 yd3
108 yd3
36 yd3
Find the volume.
4973.76 km3
1583 km3
6336 km3
1,9895.04 km3
What shape will the vertical cross section of a cylinder be?
circle
rectangle
triangle
trapezoid
Choose the correct units.
Tina is packing her bag for Spring Break. It is 18" wide by 24" high by 30" long. How much will fill the bag??
What would we be measuring? (a)
I want to put sod down in my back yard. The yard measures 50ft by 38 ft. How many square feet of sod will I need?
This would be (a)
Mr. Jones wants to put new siding on his house. How much will he need to purchase if the house is 18 yards x 24 yards x 18 yards?
You would be calculting (a)
I want to paint one wall in the class a different color. It is 18 feet at the base and it 10 feet high. What would I be calulating? (a)
How many cubic inches of packing peanuts would I need to fill a box 12in x 14in x 8 in?
I would be calculating (a)
What is the formula used for calculating the area of a parallelogram?
(a)
bh
2bh
l ⋅ w ⋅ h
What is the formula used for calculating the area of a triangle?
(a)
2bh
l ⋅ w ⋅ h
bh
What is the formula used for calculating volume?
(a)
l ⋅ w ⋅ h
bh
2bh
What type of units are used when calculting area? (a)
What type of units are used when calculting surface area? (a)
What type of units are used when calculting volume? (a)
What is the mistake made MOST often when calculating area of a triangle? (a)
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.
of 12 feet and a width of 10 feet. The height of the tent is 8 feet. Find the volume of the tent.
Choose the correct units.
Given a Cylinder with total volume 1408π in³ that has a base diameter of 16 in. Find the height of the cylinder.
22π in
5.5 in
22 in
5.5π in
Find the total surface area of the prism in square inches
243.8
162.5
237.5
175.8
What is the lateral surface area of this triangular prism in square centimeters?
192 cm2
128 cm2
152 cm2
144 cm2
What is the total surface area of this rectangular prism in square inches?
102.16
55.76
46.4
51.08
Mr. Sanchez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy. The shed is in the shape of a rectangular prism with the decisions shown.
Including the doors, what is the lateral surface area of the storage shed in square feet?
784 ft2
266 ft2
532 ft2
336 ft2
Josie covered the outside of a gift box shaped like a rectangular prism with paper. The box is 3.2 feet long, 2.1 feet wide, and 2.7 feet high. Which of the following is the closet to the total surface area of this box?
34 ft2
42 ft2
30 ft2
18 ft2
A cylinder and its dimensions are shown in the diagram.
Which measurement is closet to the lateral surface area of the cylinder in square centimeters?
575.3 cm2
287.6 cm2
398.5 cm2
604.1 cm2
Yazmine made a wooden cone with a radius of 1.9 inches and a height of 15 inches. Which of the following is the best estimate of the volume of this cone?
60 in3
30 in3
180 in3
90 in3
A conical paper cup is shown in the diagram.
Which value is the closest to the maximum volume of water this cup can hold?
159 cm3
32 cm3
127 cm3
40 cm3
A ball shaped like a sphere has a radius of approximately 2 inches. Which of the following is the best estimate of the volume of the ball?
33.5 in3
11 in3
25 in3
17 in3
The dimensions of a cylindrical water tank are shown.
Which of the following is the best estimate of the volume of this water tank?
58,320 yd3
3,240 yd3
15,260 yd3
19,440 yd3
A paper drinking cub is in the shape of a cone. It has a height of 10 centimeters and a diameter of 8 centimeters. Which of the following is the closest to the volume of the cup in cubic centimeters?
167 cm3
209 cm3
670 cm3
502 cm3
Sadie used a container shaped like a cylinder to catch rainwater. The dimensions of the container are shown below.
Which measurement is closest to the volume of the container in cubic centimeters?
1,527 cm3
4,072 cm3
1,018 cm3
3,054 cm3
A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram.
Which measurement is closest to the volume of the party hat in cubic inches?
84.82 in3
339.29 in3
254.47 in3
1,017.88 in3
A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters?
46.38 cm3
33.93 cm3
122.15 cm3
82.45 cm3
A container that holds sugar is shaped like a cylinder. The radius of the container is 3 inches, and the height of the container is 10.5 inches.
Which measurement is closest to the volume of the container in cubic inches?
254.47 in3
296.88 in3
395.84 in3
197.92 in3
A cone and its dimensions are shown in the diagram.
Which measurement is closest to the volume of the cone in cubic inches?
186.38 in3
248.50 in3
745.51 in3
62.13 in3
A hatbox in the shape of cylinder is modeled below. the diameter of the cylinder is 24 inches. The height of the cylinder is 8 inches.
The volume of a cylinder can be found by using the formula V = Bh. Which expression can be used to determine B, the area of the base of this hatbox in square inches?
(24)2π
(12)2π
82·12
122⋅8
A cylinder rand its dimensions are shown below.
One equation for calculating the volume of a cylinder is V = Bh, where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square centimeters, for this cylinder?
π(12.1)2
2π(12.1)
π(3.8)2
None of these
A cylinder and its dimensions are shown in the diagram.
Which equation can be used to find V, the volume of the cylinder in cubic inches?
V = π(2.5h)2
V = π(5h)2
V = π(2.5)2h
V = π(5)2h
Which equation do you use to determine the Total Surface area of a cylinder?
Which equation do you use to determine the Lateral Surface Area of a cylinder?
Which equation do you use to determine the Lateral Surface Area of a Triangular Prism?
Which equation do you use to determine the Total Surface Area of a Rectangular Prism?
Which equation do you use to find the Volume of a Sphere?
V = l x w x h
Which equation do you use to find the Volume of a Rectangular Prism?
V = l x w x h
Which equation do you use to find the Volume of a Cylinder?
V = l x w x h
In the equation shown, what does "P" stand for?
Perimeter
Prism
Perimeter of the Base
Pyramid
In the formula shown, what does "B" stand for?
Box
Base
Area of the Base
Volume
What is the base shape on a cylinder?
circle
square
triangle
rectangle
What are the sum of the area of the faces of a three-dimensional figure?
lateral surface area
total surface area
surface area of the bases
volume
What is the measure of the space occupied by a solid, measured in cubic units?
surface area
perimeter
weight
volume
Match the formula V=Bh or V=(πr²)h.
Volume of a cylinder
Volume of a prism
Volume of a cone
Volume of a pyramid
Match the formula, V=¹/₃Bh or V=¹/₃πr²h
Volume of a cylinder
Volume of a sphere
Volume of a cone
Volume of a pyramid
V = 4/3πr³
Volume of a cone
Volume of a sphere
Volume of a cylinder
Volume of a hemisphere
If this net were folded and assembled, what type of polyhedron would it make?
cube
rectangular prism
triangular prism
triangular pyramid
Which net can be folded and assembled into a triangular prism like this one?
What does P stand for in the surface area formula
SA=Ph + 2B?
Pound
Principal
Percent of the base
Perimeter of the base
How do you find the perimeter of a figure?
Multiply The length times the width.
Subtract the length times the width.
Divide
Add up all the lengths of the sides.
length = 11 m
height = 7 m
width = 2 m
Find the volume of the rectangular prism.
55 yd3
121 yd3
22 yd3
330 yd3
width=2
height=3
What is the surface area of the label?
A=2bh where b is the base (that the height touches) and h is the height
What is the Area of a triangle?
20 cm2
56 cm2
28 cm2
27 cm2
A= bh where b= base and height is the perpendicular distance from base to opposite side.
What is the area of this parallelogram?
75 square cm
35 square cm
15 square cm
105 square cm
A = 2h(b1+b2) where b are the parallel bases.
Find the area of the trapezoid.
18 m2
165 m2
84 m2
22.5 m2
What is the area of this circle? A=πr2 where r is the radius and the radius is half the diameter and use π on demos calculator (3.14)
163.2
15.3
124.2
113.1
Calculate the volume. To find the volume find the area of the triangle base and multiply by the height of the figure. V=Bh, where B is area of triangle, h is length of rectangle.
90 cm³
150 cm³
180 cm³
V=lwh in this figure l=12, w =5.1, h =7
Find the Volume
428.4 cm3
412.8 cm3
404.2 cm3
400 cm3
SA = 2lw+2lh +2wh In this figure l=15, w=10, h=10
What is the surface area of this figure?
200 cm 2
800 cm 2
400 cm 2
100 cm 2
S.A.=hp +2B in this firgure h=8, p=perimeter of triangle and B= area of triangle base.
Find the total surface area of the prism.
161 square feet
1,700 square feet
75 square feet
186 square feet
S.A. = 2πr2+2πrh in this picture r=4, h =11
What is the surface area of the cylinder?
176π cm2
376.8 cm3
376.8 cm2
120π cm2
S.A.=21lp+B in this picrture l = 4 (height of triangle face), p = 4(2)= pereimeter of square base, B=2(2) = area of the square base.
Find the Surface Area
15m2
16m2
18m2
20m2
S.A. = πrl
If slant height, l , of the cone is 21 cm and the diameter (2r) of the base is 24 cm. The total surface area of a cone is:
1200.77 sq.cm
1177 sq.cm
1222.77 sq.cm
1244.57 sq.cm
S.A.=4πr2 The surface area of a sphere of radius 14 cm is:
1386 sq.cm
1400 sq.cm
2464 sq.cm
2000 sq.cm
S.A.=21(4πr2)
Find the surface area of the hemisphere (half a sphere)
339.3 in2
226.1in2
113.0 in2
452.2 in2
What is the surface area?
164 in2
82 in2
120 in3
164 in3
What is the volume?
14 ft 2
54 ft2
54 ft3
102 ft3
990 yds2
990 yds3
598 yds2
598 yds3
80 ft3
80 ft2
48 ft2
48 ft3
What is the volume to the nearest tenth?
34.4 yds2
34.38 yds3
34.4 yds3
34.38 yds2
0.75 ft
4.25 ft
2.25 ft
0.725 ft
30,400 cm2
30,400 cm3
320,000 cm2
320,000 cm3
120 m3
240 m3
148 m3
128 m3
What is the surface area?
244 ft2
122 ft2
168 ft2
84 ft2
What is the surface area?
224 ft2
374 ft2
748 ft2
1120 ft2
