AnswersIntegrated Math II FullUnknown Leg Lengths in Right Triangles

Unknown Leg Lengths in Right Triangles — Test Answers

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1
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Which equation can be used to find the surface area of the cylinder?

Question illustration
A
S = 2 pi (14) squared + 2 pi (14) (6)
Option A
B
S = 2 (3) squared + 2 (3) (14)
Option B
C
S = 2 pi (6) squared + 2 pi (6) (14)
Option C
D
S = 2 pi (3) squared + 2 pi (3) (14)
Option D
2
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Which equation can be used to find the surface area of the cylinder?

Question illustration
A
S = 2 pi (8) squared + 2 pi (12) (8)
Option A
B
S = 2 (6) squared + 2 (6) (8) pi
Option B
C
S = 2 pi (12) squared + 2 pi (12) (8)
Option C
D
S = 2 pi (6) squared + 2 pi (6) (8)
Option D
3

Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid?

A
84.3 cm2
B
108.6 cm2
C
157.2 cm2
D
168.6 cm2
4

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?

Question illustration
A
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
Option A
B
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
Option B
C
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
Option C
D
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))
Option D
5

Which could be the area of the base of the triangular prism? [Not drawn to scale]

Question illustration
A
6 ft2
B
10 ft2
C
12 ft2
D
20 ft2
6

What is the surface area of the triangular prism? [Not drawn to scale]

Question illustration
A
115 square feet
B
120 square feet
C
135 square feet
D
150 square feet
7

Which statement is true about every rectangular pyramid?

A
Each lateral face has an area less than the area of the base.
B
At least two of the lateral faces are congruent.
C
Each lateral face has the same height.
D
At least one of the faces has a whole number base or height.
8

Which could be the area of a face of the rectangular prism? [Not drawn to scale]

Question illustration
A
5 m2
B
6 m2
C
7 m2
D
9 m2
9

What is the surface area of the triangular prism?

Question illustration
A
2,001 square feet
B
2,376 square feet
C
2,592 square feet
D
4,320 square feet
10

A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in terms of . Recall the formula .

Question illustration
A
1,320 pi feet squared
Option A
B
1,792 pi feet squared
Option B
C
2,080 pi feet squared
Option C
D
2,640 pi feet squared
Option D
11

What is the surface area of the rectangular pyramid below?

Question illustration
A
29.99 m2
B
31.04 m2
C
41.74 m2
D
65.24 m2
12

What is the surface area of the cylinder? Express the answer in terms of . Recall the formula .

Question illustration
A
152 pi
Option A
B
176 pi
Option B
C
304 pi
Option C
D
792 pi
Option D
13

Which set of side lengths forms a right triangle?

A
2, 3, 13
B
4, 6, 10
C
9, 12, 18
D
15, 36, 39
14

A rectangle on a coordinate plane has vertices L(0, 6), M(8, 6), N(8, 0), and O(0, 0). What are the dimensions of the rectangle?

A
The base is 6 and the height is 8.
B
The base is 8 and the height is 6.
C
The base is 6 and the height is 6.
D
The base is 8 and the height is 8.
15

What is the distance between the points (7, 8) and (–8, 0) on a coordinate grid?

Answer not available
16

Which is a perfect square?

A
5
B
8
C
36
D
44
17

Which set of side lengths is a Pythagorean triple?

A
1, 3, 10
B
4, 5, 9
C
9, 40, 41
D
16, 30, 44
18

Jackie is wrapping a birthday present. The gift box is in the shape of a rectangular prism. It has a length of 8 inches, a width of 10 inches, and a height of 3 inches. What is the minimum amount of wrapping paper she will need to completely cover the box?

A
134 square inches
B
214 square inches
C
240 square inches
D
268 square inches
19

Tracy used the expression to find the surface area, in square centimeters, of the rectangular pyramid below.Which statement best describes her work?

Question illustration
A
Tracy’s answer will be incorrect because she forgot the factor in the expression representing the area of the triangular faces.
Option A
B
Tracy’s answer will be incorrect because the pyramid has five faces and her expression finds the sum of only three products.
C
Tracy’s answer will be correct because she made use of the fact that in her expression.
Option C
D
Tracy’s answer will be correct because a rectangular pyramid has only three faces and the expression finds the sum of three products.
20

Which statement explains why 49 is a perfect square?

A
49 can be multiplied by 49.
B
49 is equal to 7 plus 7.
C
49 is between 36 and 64.
D
49 is equal to 7 times 7.

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