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Unit 5 Study Guide
Test Description: Triangle Relationships, Area, and Volume
Instructions: Answer all questions to get your test result.
1) Two sides of a triangular tile measure 3 inches and 4 inches. What length could be possible for the third side?
A
6
B
8
C
1
D
7
2) A right triangle has an angle that measures 52°. What does the third angle measure?
A
38
B
180
C
28
D
142
3) A triangle has a base of 24 inches and a height of 7 inches. Which equation could solve the area of the triangle?
A
A = ½ • 24 • 7
B
A = 24 • 7
C
A = 24 + 7
D
A = 180 - (24 + 7)
4) A parallelogram has a height of 4 cm and a base of 8 cm. Which equation could solve the are of the parallelogram?
A
A = 8(4)
B
A = ½ • 8 • 4
C
A = 180 - (8+4)
D
A = 4 + 8
5) In a triangle, the largest angle is opposite the ___________ side?
A
Midsize
B
Smartest
C
Shortest
D
Longest
6) A trapezoid has bases that measure 7 centimeters and 4.5 centimeters, and a height of 3 centimeters. What is the area of the trapezoid?
A
14.5 cm²
B
17.25 cm²
C
34.5 cm²
D
21 cm²
7) A sign shaped as a triangle has an area of 75 square inches. If the height of the sign is 15 inches, how long should the top edge be in inches?
A
7.5 inches
B
2 inches
C
60 inches
D
10 inches
8) The formula for finding the volume of a rectangular prism is...
A
V = l • w
B
V = l • w • h
C
V = l + w + h
D
V = (l + w)h
9) The volume of a rectangular prism is 36 ft³. If the length is 3 feet and the width is 6 feet, what is the height of the rectangular prism?
A
5
B
3
C
2
D
1
10) A wall has a length of 14 m and a width of 9m. If there is a square window with a side that measures 5 m, how much paint is needed for the wall in square meters?
A
126 square meters
B
630 square meters
C
28 square meters
D
101 square meters
11) Find the area of a triangle with a height of 11 cm and a base of 8 cm.
A
44 cm²
B
3 cm²
C
88 cm²
D
19 cm²
12) Find the volume of a rectangular prism with a height of 6 cm, a width of 5 cm, and a length of 11 cm.
A
1 cm³
B
165 cm³
C
330 cm³
D
22 cm³
13) Jamie's rectangular yard measures 25 feet by 8 feet. Green Thumb Landscaping is going to charge Jamie $1.30 per square foot and an additional $200 to install sod. What will Jamie's total cost be for planting new grass in his yard?
A
$200
B
$260
C
$460
D
$400
14) John is going to make a new back patio that is twice as large as his old one. If his old back patio is 24 feet by 16 feet, how much greater will the area of his new patio be compared to the old patio?
A
80 ft²
B
1536 ft²
C
1152 ft²
D
384 ft²
15) An artist has four boards that measure 16 feet, 11 feet, 7 feet, and 3 feet. Which board could not be used with two of the others to form a triangle?
A
3 foot board
B
7 foot board
C
16 foot board
D
11 foot board
16) In a triangle, the shortest side is opposite the ____________ angle.
A
smallest
B
scariest
C
tallest
D
largest
17) What is the area of a trapezoid that has bases measuring 19 cm and 23 cm, and a height of 14 cm?
A
294 square centimeters
B
266 square centimeters
C
322 square centimeters
D
105 square centimeters
18) What is the area of a triangle with a base of 26 in and a height of 17 in?
A
9 in²
B
442 in²
C
43 in²
D
221 in²
19) What is the measure of the missing angle in a triangle that contains angle measures of 37º and 59º?
A
96º
B
22º
C
84º
D
276º
20) Michael is going to start a weekend moving business. His truck's cargo area has a width of 7.50 ft, a height of 7.50 ft, and a length of 15.00 ft. How much can Michael's truck hold?
A
105 ft³
B
843.75 ft³
C
735 ft³
D
421 ft³
*select an answer for all questions
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