WorksheetsPythagorean Theorem and Volume
Total questions: 20
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
Why do we use the Pythagorean Theorem?
a)
To find the missing side of a right triangle
b)
To find the area of a triangle
c)
To find the volume of a cone
d)
To find the circumference of a circle
2.
What is the formula used for the Pythagorean Theorem?
a)
a + b = c
b)
a2 + b2 = c2
c)
a2 + b2 = c2
d)
a x b = c
3.
What is the hypotenuse (c)?
a)
the two sides that make up the right angle
b)
the longest side, across from the right angle
c)
the shortest side
d)
the straight side of the triangle
4.
Using the Pythagorean Theorem, find the area of the missing square (seen in picture)
a)
30 cm2
b)
15 cm2
c)
315 cm2
d)
45 cm2
5.
Using the Pythagorean Theorem, find the area of the missing square (seen in picture)
a)
75 cm2
b)
105 cm2
c)
135 cm2
d)
30 cm2
6.
If a triangle has sides that measure 3 cm, 4 cm and 5 cm - is it a RIGHT triangle?
a)
Yes, right triangle
b)
No, not a right triangle
7.
If a triangle has sides that measure 4 in, 5 in and 6 in - is it a RIGHT triangle?
a)
Yes, right triangle
b)
No, not a right triangle
8.
Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:
a)
13
b)
17
c)
7
9.
Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:
a)
12.12
b)
21.2
c)
7.3
10.
Using the Pythagorean Theorem, find the length of the missing side of the triangle pictured:
a)
23
b)
17
c)
7
11.
If a boat sailed six miles north and eight miles east, how far away is it from its original location? (find d)
a)
100 miles
b)
14 miles
c)
10 miles
d)
2 miles
12.
If the ramp is 21 feet long, and ends 19 feet away from the building, how high (h) is the ramp?
a)
2.19 ft
b)
8.9 ft
c)
28.3 ft
13.
Find the volume to the nearest tenth using 3.14 instead of Pi.
a)
282.6 in3
b)
94.2 in3
c)
235.5 in3
d)
78.5 in3
14.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
418.00 cm3
b)
139.33 cm3
c)
130.62 cm3
d)
1671.98 cm3
15.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
16.
Find the volume to the nearest whole number using 3.14 instead of Pi.
a)
151 ft3
b)
152 ft3
c)
150 ft3
d)
150.72 ft3
17.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
18.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
19.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
20.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
100 %
