# math

A sphere with a diameter of 13x8 centimeters is shown below.

104x118

Which of the following expressions best represents the volume of this sphere in cubic centimeters in terms of 7x5 ?

A
45x24

B
45x24

C
44x14

D
44x14

2
These two boxes have the same volume.

Box A
Height: 2 in., Width: 3 in., Length: 6 in.

Box B
Height:3in., Width:4in., Length:?

What is the length of Box B?

A
2 in.

B
3 in.

C
4 in.

D
9 in.

3
The cone shown has a height of 5 inches and a radius of 1.5 inches.

138x145

What is the approximate volume of the cone?

A
between 11 and 12 cubic inches

B
between 15 and 16 cubic inches

C
between 35 and 36 cubic inches

D
between 39 and 40 cubic inches

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18-19 8B U1 L11 Measurement Alternative Portfolio MA : 08

4
Angela decides to recycle a large oatmeal container by using it to hold a friend’s birthday gift. Then she wraps the container in gift paper.

213x240

Angela makes a net of the container out of the gift wrap paper. Which is closest to the amount of paper she will use if she uses the least amount of paper to wrap the gift?

A
144.44 sq in.

B
157.00 sq in.

C
91.06 sq in.

D
135.37 sq in.

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18-19 8B U1 L11 Measurement Alternative Portfolio MA : 08

5
The dimensions of a cylindrical apple juice can are shown.

96x154

The given formula can be used to determine the volume (9x8 ) of a cylinder.

190x10
What is the approximate volume of the can?
Use 3.14 for 7x5

A
113 cubic inches

B
339 cubic inches

C
1,064 cubic inches

D
1,356 cubic inches

6
The net of a rectangular prism is shown below.

192x179

What is the total surface area of the rectangular prism represented by this net?

A
114.70 19x11

B
150.88 19x11

C
105.00 19x11

D
119.88 19x11

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18-19 8B U1 L11 Measurement Alternative Portfolio MA : 08

7
The student council members are making decorative labels to cover 20 identical empty coffee cans for a charity drive. Each label will cover the entire lateral surface area of a can.

220x224

Which is closest to the lateral surface area of a single coffee can?

A
38x12

B
38x12

C
38x12

D
38x12

8
A piece of cheese is in the shape of a triangular prism. The dimensions of the cheese are shown below.

Cheese

176x121

What is the surface area of the piece of cheese?

A
14.5 square inches

B
20.5 square inches

C
29 square inches

D
32 square inches

9
Jane had a rectangular frame 30 inches in length and 24 inches in width. Stan made a similar frame that is smaller in size.

Which of the following could be the dimensions of the frame Stan made?

A
Length = 20 inches, width = 25 inches

B
Length = 15 inches, width = 8 inches

C
Length = 24 inches, width = 18 inches

D
Length = 15 inches, width = 12 inches

10
A cone has a height of 5 inches and a circumference of 56.52 inches.

Which measurement is closest to the volume of the cone in cubic inches? Use 3.14 for 7x5 .

A
1695.6

B
1271.7

C
887.36

D
423.9

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3. 👁
1. inserting the dimensions of your figures does not help us much.
Nor does the very awkward text formatting.
This is a good illustration (no pun) of the inadvisability of trying to copy/paste formatted documents.

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2. For question 3, the formula is
v=1/3Bh
Make a fraction with (π or 3.14)(1.5^2)(5) as your numerator and 3 as your denominator.
That comes out to 35.34 (if using π) in the numerator and 3 in the denominator.
When you divide, your answer will be 11.78, making the correct answer to be A = between 11 and 12 cubic inches.

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3. For number 7, I know which problem you are referring to. The bases have a radius of 3+1/16 inches and a height of 6+5/8 inches.
To find the lateral surface area, use this formula

A=2πrh
I'm going to tell you that if you choose to answer this question on paper, your work will be long. The easiest way is to use the TI84 calculator.

(2)

blue (2nd) key then (^) key with the blue π symbol above it

(3+1÷16)

(6+5÷8)

press enter
The answer is D 128 in^2

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4. for number 10, use formula C=2πr to find the radius. You must do that first.
C = 2πr
56.52 = (2)(3.14)r
56.52 = 6.28r
56.52/6.28 = 6.28r/6.28
9 = r

Now that you have the radius, you can solve the following formula
V = 1/3πr^h
V = (1/3)(3.14)(9)^2(5)
V = (1/3)(3.14)(81)(5)
V = 423.9

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5. For number 4, use formula SA = 2πrh + 2πr^2
The image gives you the diameter of 4, since the diameter is twice the radius, simply divide the diameter by 2. When done, your radius will be 2
SA = 2πrh + 2πr^2
SA = (2)(3.14)(2)(10.5) + (2)(3.14)(2)^2
SA = (2)(3.14)(2)(10.5) + (2)(3.14)(4)
SA = 131.88 + 25.12
SA = 157 sq in

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6. For number 1, the answer is A (4/3π(3x)^3)
The question asks "A sphere with a diameter of 6x centimeters is shown below. Which of the following expressions best represents the volume of this sphere in cubic centimeters in terms of π?
The diagram already gives you the radius of 3 centimeters, plug it into the formula for the volume of a sphere which is V=4/3πr^3.

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7. For number 2, you much first determine the volume of the box by using the formula V = LWH
V = LWH
V = (6)(3)(2)
V = 36

Now you can find the length, by substituting the values you have
V = LWH
36 = (L)(4)(3)
36 = 12L
36/12 = 12L/12
3 = L
The answer is B 3 in

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8. For number 5, The dimensions of a cylindrical apple juice can are shown (height of 12 in and diameter of 6 in). The given formula can be used to determine the volume (V) of a cylinder (V = Bh = area of base x height)
What is the approximate volume of the can? Use 3.14 for π.

D = 6
r = 1/2(6)
r = 3

pi = 3.14
height h = 12

Now that you have the radius, you can begin to solve the formula.
V = πr^2h
V = (3.14)(3)^2(12)
V = (3.14)(9)(12)
V = 339.12

The answer is B 339 cubic in

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9. For number 6 The net of a rectangular prism is shown below
Long length 7.4
Short length 3.1
height 5

you have three sets of congruent areas. Those are
the Ones they give you
(7.4 x 3.1)
(5 x 3.1)
The one they don't show, which is
(7.4 x 5)

Now that we have the dimensions, we can solve.
SA = 2(7.4 x 3.1) + 2(5 x 3.1) + 2(7.4 x 5)
SA = 2(22.94) + 2(15.5) + 2(37)
SA = 45.88 + 31 + 74
SA = 150.88 cm^2

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10. Babydoll you da best <3

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11. babydoll do you have the answer for number 8

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