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Sites » Pre-Algebra Part II, (Revision B) » Exams & Quizzes Log Out 04 - Lessons 4 & 5, Exam 4 Part 1 of 2 - 0.0/ 49.999508 Points 0.0/ 3.3333 Points
Question 1 of 30
You cut square corners with side lengths that are whole numbers from a piece of cardboard with dimensions 20
inches by 30 inches. You then fold the cardboard to create a box with no lid. Which of the following dimensions
will give you the greatest volume?
A. 12 in. by 22 in. by 4 in.
B. 10 in. by 20 in. by 5 in.
C. 14 in. by 24 in. by 2 in.
D. 10 in. by 24 in. by 6 in. 0.0/ 3.3333 Points
Question 2 of 30
The diagram shows the dimensions of a teepee. Find the volume of the building to the nearest cubic unit. Use
3.14 for pi. A. 1,780 ft3
B. 1,382 ft3
C. 21,363 ft3
D. 5,341 ft3 0.0/ 3.3333 Points
Question 3 of 30
Find the volume of a can of soup that has a height of 16 cm and a radius of 5 cm. Use 3.14 for pi.
A. 1,256.0 cm3 B. 251.2 cm3
C. 4,019.2 cm3
D. 502.4 cm3 0.0/ 3.3333 Points
Question 4 of 30
Find the surface area of a rectangular prism that is 16 inches long, 12 inches wide, and 5 inches high.
A. 960 in.2
B. 689 in.2
C. 714 in.2
D. 664 in.2 Question 5 of 30
The length of a rectangular room is 7.9 m and its width is 8.6 m. Find the area of the room. 0.0/ 3.3333 Points A. 73.96 m2
B. 62.41 m2
C. 67.94 m2
D. 33 m2 Question 6 of 30
Find the area A.
607.32 in. 2 B.
36.7 in. 2 C.
303.66 in. 2 0.0/ 3.3333 Points D.
77.2 in. 2 Question 7 of 30
Find the volume of the cylinder to the nearest cubic foot. Use a calculator. 0.0/ 3.3333 Points A. 236 ft3
B. 942 ft3
C. 75 ft3
D. 251 ft3 Question 8 of 30
Find the area of the rectangle. A. 44 ft2
B. 64 ft2
C. 196 ft2
D. 112 ft2 0.0/ 3.3333 Points Question 9 of 30
Find the area of a triangle with a base of 8 m and a height of 6 m. 0.0/ 3.3333 Points A. 7 m2
B. 48 m2
C. 24 m2
D. 14 m2 Question 10 of 30 0.0/ 3.3333 Points Find the area A. B. C. D. Question 11 of 30 Find the area of the trapezoid. 0.0/ 3.3333 Points A. 92.43 yd2
B. 219.96 yd2
C. 127.53 yd2
D. 439.92 yd2 Question 12 of 30 0.0/ 3.3333 Points Find the area A.
30 yd 2 B.
6.5 yd 2 C.
13 yd 2 D.
15 yd 2 Question 13 of 30
Find the volume of the sphere to the nearest whole number. Use pi = 3.14. 0.0/ 3.3333 Points A. 131 in.3
B. 393 in.3
C. 4,187 in.3
D. 523 in.3 0.0/ 3.3333 Points
Question 14 of 30
Renata is completing a craft project that involves covering only the lateral surface of a cylindrical container with
fabric. The cylinder has a height of 12.8 in. and a radius of 15.1 in. To the nearest square unit, how much fabric
does she need for this project? Use a calculator.
A. 1,214 in.2
B. 2,040 in.2
C. 2,647 in.2
D. 1,931 in.2 0.0/ 3.3333 Points
Question 15 of 30
Write the most precise name for the space figure with the given properties. a lateral surface and two circular
bases
A. prism
B. sphere
C. cone
D. cylinder Part 2 of 2 - 0.0/ 49.999508 Points Question 16 of 30 0.0/ 3.3333 Points Use a calculator to find the given value. Round to four decimal places.
sin 21
A. 0.3584
B. 2.7904
C. 0.9336
D. 0.3839 0.0/ 3.3333 Points
Question 17 of 30
Charlene made the sketch below in order to find the height x of a pole. She positioned a mirror on the ground so
that she could see the reflection of the top of the pole. Her height, her distance from the mirror, and her line of
sight to the mirror determine the smaller triangle. The pole’s height, its distance from the mirror, and the
distance from the top of the pole to the mirror form a larger similar triangle. Find the height of the pole to the
nearest tenth. A. 16.5 ft
B. 22.0 ft
C. 20.5 ft
D. 17.5 ft 0.0/ 3.3333 Points
Question 18 of 30
Max is in a control tower at a small airport. He is located 50 feet above the ground when he spots a small plane
on the runway at an angle of depression of . What is the distance of the plane from the base of the tower?
Round to the nearest foot.
A. 25 feet
B. 110 feet
C. 56 feet
D. 98 feet Question 19 of 30 0.0/ 3.3333 Points Wayne used the diagram to compute the distance from Ferris, to Dunlap, to Butte. How much shorter is the
distance directly from Ferris to Butte than the distance Wayne found? A. 20 mi
B. 25 mi
C. 10 mi
D. 35 mi Question 20 of 30 0.0/ 3.3333 Points Find the missing side length A. 10
B. 48
C. 28
D. 100 0.0/ 3.3333 Points
Question 21 of 30
The legs of an isosceles right triangle are 11 cm long. Find the length of the hypotenuse. Round to the nearest
tenth if necessary.
A. 15.6 cm
B. 22 cm C. 7.8 cm
D. 19.1 cm 0.0/ 3.3333 Points Question 22 of 30
For , find the sine, cosine, and tangent of A. sin P = , cos P = , tan P = B. sin P = , cos P = , tan P = C. sin P = , cos P = , tan P = D. sin P = , cos P = , tan P = . 0.0/ 3.3333 Points
Question 23 of 30
Wires are attached to a pole to make it more secure. The diagram shows one of those wires having a length of
220 feet. The angle of elevation from the ground to the top of the pole is . What is the height of the pole? A. 178.0 ft
B. 374.3 ft
C. 159.8 ft D. 129.3 ft 0.0/ 3.3333 Points Question 24 of 30
Find the midpoint of . A. (3, 1)
B. (1, 1)
C. (10, 4)
D. (4, 4) Question 25 of 30
Use a calculator to find the given value. Round to four decimal places. 0.0/ 3.3333 Points tan 27
A. 0.8910
B. 1.9626
C. 0.4540
D. 0.5095 Question 26 of 30 0.0/ 3.3333 Points In the given right triangle, find the missing length. A. 28 m
B. 26 m
C. 25 m
D. 27 m 0.0/ 3.3333 Points
Question 27 of 30
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth
if necessary. legs: 28 in. and 15 in.
A. 37.5 in.
B. 23.6 in.
C. 29.6 in.
D. 31.8 in. 0.0/ 3.3333 Points
Question 28 of 30
The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate
the radius of the pool, to the nearest foot.
A. about 14 feet
B. about 8 feet
C. about 11 feet
D. about 10 feet Question 29 of 30
Write the tangent ratios for 0.0/ 3.3333 Points A. B. C. D. Question 30 of 30
Find the distance between the two points. Round to the nearest tenth if necessary.
(2, 5) and (–1, –5)
A. 1
B. 109
C. 10.4
D. 3 Switch to Full View 0.0/ 3.3333 Points