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Semester End Quiz on surface area, area and perimeter. Take quiz as a group effort
Questions and Answers
1.
What is the perimeter of a rectangle with legnth 13 and width 10.
A.
23 units
B.
130 square units
C.
46 units
D.
33 units
E.
None of the above
Correct Answer
C. 46 units
Explanation the perimeter is the addition of all the sides. 13+13+10+10=46
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2.
Find the Area of a rectangle with sides 13 inches and 10 inches
A.
23 units
B.
130 square units
C.
46 units
D.
33 units
E.
None of the above
Correct Answer
B. 130 square units
Explanation the area of a rectangle is legnth X width. 13 X 10= 130
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3.
The area of a trapezoid base 1= 12, base 2= 15, height= 4 is?
A.
31 units
B.
60 square units
C.
35 units
D.
54 square units
E.
None of the above
Correct Answer
D. 54 square units
Explanation the area formula for a trapezoid = 1/2H(b1+b2)
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4.
The area formula for a rhombus is
A.
BH
B.
1/2 PA
C.
1/2D1D2
D.
1/2H(B1+B2)
E.
None of the above
Correct Answer
C. 1/2D1D2
Explanation d1 & d2 are diagonals
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5.
The approximate area of a circle with radius 20 is?
A.
1256 square units
B.
125.6 units
C.
400 square units
D.
40 units
E.
None of the above
Correct Answer
A. 1256 square units
Explanation area formula for a circle = pi*r*r
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6.
The area for a Regular Polygon = 1/2 P*A. What do P and A stand for
Correct Answer Perimeter, Apothem
Explanation The formula for finding the area of a regular polygon is given as 1/2 P*A, where P represents the perimeter of the polygon and A represents the apothem. The perimeter is the total length of all the sides of the polygon, while the apothem is the distance from the center of the polygon to any of its sides. Therefore, in order to calculate the area of a regular polygon, you need to know both the perimeter and the apothem.
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7.
Surface Area is found by:
A.
Adding the legnths of all the sides together
B.
Adding the area of all the sides together
C.
Multiplying the legnth and bases together
D.
Multiplying the perimeter by two
E.
None of the above
Correct Answer
B. Adding the area of all the sides together
Explanation remeber our jigsaw lesson.
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8.
Given a cylinder with a radius of 5 and a hight of seven, what is the surface area?
A.
219.8 units squared
B.
157 units squared
C.
376.8 units squared
D.
298.3 units squared
E.
None of the above
Correct Answer
C. 376.8 units squared
Explanation circumfrence* hight + circle on top+ circle on bottom=
31.4*7 + 78.5 + 78.5
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9.
FInd the lateral area of a right cylinder
A.
219.8 units squared
B.
157 units squared
C.
376.8 units squared
D.
298.3 units squared
E.
None of the above
Correct Answer
A. 219.8 units squared
Explanation lateral area does not include the top and bottom, just the area around.
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10.
Find the Total Surface area of a regular prism with a lateral area of 20 and a base of 14.
A.
34 units squared
B.
48 units squared
C.
280 units squared
D.
54 units squared
E.
None of the above
Correct Answer
B. 48 units squared
Explanation lateral area plus the two bases will give the total surface area
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11.
The formula for the surface area of a pyramid is
A.
1/2 Perimeter* Legnth+ Base
B.
Pi*radius*Legnths+2*pi*radius*radius
C.
Perimeter*height+ 2*Base
D.
4*pi*radius*radius
E.
None of the above
Correct Answer
A. 1/2 Perimeter* Legnth+ Base
Explanation The correct answer is 1/2 Perimeter* Length + Base. This formula is used to calculate the surface area of a pyramid. It takes into account the perimeter of the base, the length of the slant height, and the area of the base. By multiplying the perimeter by half the length and adding the base area, we can determine the total surface area of the pyramid.
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12.
The lateral area od a prism is found by multiplying the height by the ______________.
Correct Answer perimeter
Explanation The lateral area of a prism is found by multiplying the height by the perimeter. This is because the lateral area represents the total surface area of the sides of the prism, which can be calculated by multiplying the height of the prism by the distance around the base, which is the perimeter.
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13.
Find the surface area ofa pyramid with a square base legnth 10 and a slant height of 13
A.
580 units squared
B.
480 units squared
C.
620 units squared
D.
340 units squared
E.
None of the above
Correct Answer
D. 340 units squared
Explanation special right triangle to find height of 12. 5*12*(.5)=30 for each right triangle, 60 for each side. 4 sides since its a square so 60+60+60+60+ base. Base =10*10 so 240+100.
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14.
Find the total Surface area of a cone with radius 3, slant height of 5.
A.
94.2 units squared
B.
28.26 units squared
C.
78.5 units squared
D.
122.46 units squared
E.
None of the above
Correct Answer
D. 122.46 units squared
Explanation circumfrence* slant legnth + base
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15.
Look at number 32 a in your book on page 605. Determine the surface area of the Frustrum with base 4yards, slant height 4 yards, height of 3 yards and a top of 2 yards.
A.
36 units squared
B.
46 units squared
C.
56 units squared
D.
66 units squared
E.
None of the above
Correct Answer
C. 56 units squared
Explanation this is 4 trapezoids and 2 squares. top= 4, bottom= 16, the area of each face is 1/2H(b1+b2)= 1/2*3*(2+4)=9 9*4=36
36+4+16=56
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