Pinecrest Preparatory Academy What Is the Volume of The Tent Algebra Questions

1.

Square ABCD has perimeter x cm. What is its area in terms of x?

Answers

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B.

C.

D.

Question2.

A parallelogram has base of 12 cm and height of 7 cm. What is its area?

Answers

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16 cm²

B.

81 cm²

C.

84 cm²

D.

420 cm²

Question3.

Find the area of a parallelogram with a base of 23 ft, sides of 17 ft each, and an altitude of 16 ft.

Answers

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272 ft²

B.

391 ft²

C.

79 ft

D.

368 ft²

Question4.

A rectangle has base c and height d. Which formula gives its area?

Answers

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A = c²

B.

A = d²

C.

A = cd

D.

A = 2c + 2d

Question5.

What dimensions are possible for a triangle with area 64 cm²?

Answers

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b = 8 cm, h = 8 cm

B.

b = 4 cm, h = 16 cm

C.

b = 8 cm, h = 16 cm

D.

b = 6 cm, h = 8 cm

Question6.

A trapezoid has an area of 56 in.2. One base is 6 in. and the height is 8 in. What is the length of the other base?

Answers

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6 in.

B.

8 in.

C.

10 in.

D.

14 in.

Question7.

What is the exact area of a circle with a radius of 11 mi?

Answers

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121

B.

11

C.

22

D.

5.5

Question8.

What is the exact area of a circle with a radius of m?

Answers

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2

B.

C.

D.

Question9.

What is the exact area of a circle with a diameter of 1.2 in.?

Answers

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2.4

B.

0.36

C.

1.44

D.

0.18

Question10.

Which space figure has three lateral faces that are triangles?

Answers

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triangular pyramid

B.

pentagonal prism

C.

square prism

D.

triangular prism

Question11.

Which space figure has six faces that are all regular quadrilaterals?

Answers

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triangular pyramid

B.

pentagonal prism

C.

square prism

D.

triangular prism

Question12.

How many faces does a rectangular prism have?

Answers

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two

B.

four

C.

six

D.

eight

Question13.

Which figure would need more paint to cover its surface area: a square prism with a length and width of 5 cm each, and height of 8 cm, or a cylinder with a diameter of 5 cm and height of 10 cm?

Answers

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the square prism

B.

the cylinder

C.

they would need the same

D.

cannot be determined

Question14.

Each edge of a cube is 40 cm long. What is the surface area of the cube if you use the conversion: 2.5 cm ≈ 1 in.?

Answers

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256 in.²

B.

1,536 in.²

C.

3,840 in.²

D.

9,600 in.²

Question15.

If a cylinder has height of 10 in. and base radius of 2.5 in., what is its lateral area, to the nearest whole unit?

Answers

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235 in.²

B.

215 in.²

C.

196 in.²

D.

157 in.²

Question16.

What is the ratio of the surface area of a sphere with a radius of 2 ft to the surface area of a sphere with a radius of 5 ft?

Answers

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2 to 5

B.

4 to 25

C.

16 to 125

D.

18 to 20

Question17.

If a globe has a diameter of 18 inches, what is the surface area of the globe to the nearest square inch?

Answers

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226 in.²

B.

254 in.²

C.

1,018 in.²

D.

4,072 in.²

Question18.

One side of a triangle is 5 cm and its corresponding height is 15 cm. The triangle is the base of a triangular prism with a height 5 cm. What is the volume of the prism?

Answers

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12.5 cm³

B.

37.5 cm³

C.

187.5 cm³

D.

375.0 cm³

Question19.

What is the height of a rectangular prism with a length of 5 ft, a width of 2 ft, and a volume of 120 ft³?

Answers

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12 ft

B.

10 ft

C.

6 ft

D.

2 ft

Question20.

If a rectangle has a perimeter of 24 and the length and width are integers, which of the following dimensions would give the least possible area?

Answers

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1 by 11

B.

1 by 24

C.

2 by 4

D.

6 by 6

Question21.

If a pyramid and a rectangular prism have the same base and height, the volume of the rectangular prism is how many times the volume of the pyramid?

Answers

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B.

C.

2

D.

3

Question22.

What is the volume of a square pyramid with a height of 3.25 yd and base edges of 5.5 yd, to the nearest tenth of a cubic yard?

Answers

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65.6 yd³

B.

32.8 yd³

C.

16.4 yd³

D.

33 yd³

Question23.

What is the volume of a sphere with diameter 5.5 m, when rounded to the nearest cubic meter?

Answers

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261 m³

B.

22 m³

C.

87 m³

D.

90 m³

Question24.

Using 3.14 for , what is the volume of a cone with a radius of 4.8 cm and a height of 1.2 cm, to the nearest tenth of a cubic centimeter?

Answers

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28.9

B.

15.1

C.

72.3

D.

87.8

Question25.

How many cones with a radius of 1 m and a height of 1 m would you need to have a total volume equal to the volume of a sphere with radius 1 m?

Answers

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2

B.

3

C.

4

D.

5

Question26.

A rectangular prism with a height of 5 cm has a volume of 60 cm³. What is the base area?

Answers

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6 cm²

B.

4 cm²

C.

12 cm

D.

12 cm²

Question27.

The base of a square prism has sides of 14 in. and a height of 5 in. What is the surface area of the prism?

Answers

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112 in.²

B.

196 in.²

C.

672 in.²

D.

280 in.²

Question28.

A trapezoid has a height of 8 and an area of 28. If one base is 2, what is the other base?

Answers

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3

B.

1

C.

5

D.

6

Question29.

Figure A is a rectangle 10 in. long and 7.5 in. wide. Figure B is a parallelogram with a height of 12 in. and a base length of 7.5 in. Which of the following statements is true?

Answers

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area of A > area of B

B.

area of A < area of B

C.

area of A = area of B

D.

area cannot be determined

Question30.

Suppose you are painting a wall using a paint roller with a diameter of 3 in., and a roller length of 9 in. Which of the following is the closest area that the roller will cover in one complete roll?

Answers

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28 in.²

B.

81 in.²

C.

84 in.²

D.

85 in.²

Question31.

The perimeter of a square is 72 in. What is its area?

Answers

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72 in.²

B.

18 in.²

C.

324 in.²

D.

36 in.²

Question32.

A triangle has an area of 36 cm² and a base of 6 cm. What is the height of the triangle?

Answers

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12 cm

B.

6 cm

C.

36 cm

D.

18 cm

Question33.

A room is 18 ft long, 14 ft wide, and 8 ft high. Find the cost of carpeting the floor with carpet costing $5/ft².

Answers

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$320

B.

$90

C.

$252

D.

$1260

Question34.

Using the same room dimensions as #33, find the cost of painting the four walls with two coats of paint costing $9.50 a gallon. Each gallon covers 256 ft².

Answers

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$100

B.

$38

C.

$19

D.

$72

Question35.

Find the surface area of a hemisphere with diameter 70 cm.

Answers

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11,539.5²

B.

7,693²

C.

659.4²

D.

46,158 cm²

Question36.

A tent is in the shape of a triangular prism with the base side of 8 feet and a height of 6 feet. The length of the prism is 8 feet. What is the volume of the tent?

Answers

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384 ft³

B.

96 ft³

C.

192 ft³

D.

48 ft³

Question37.

Figure A is a rectangle 10 in. long and 7.5 in. wide. Figure B is a parallelogram with height 12 in. and base length 7.5 in. Which statement is true?

Answers

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area of A > area of B

B.

area of A < area of B

C.

area of A = area of B

D.

cannot be determined

Question38.

The height of a rectangle is doubled while the base is unchanged. How does this affect the area?

Answers

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The area stays the same.

B.

The area doubles.

C.

The area is four times as big.

D.

The area is half as big.

Question39.

A ______________ has two parallel bases that are congruent circles.

Answers

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cone

B.

sphere

C.

cylinder

D.

net

Question40.

A trapezoid has height 8 and area 28. What are the lengths of its bases?

Answers

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6 and 1

B.

5 and 2

C.

4 and 3

D.

cannot be determined