Surface Area Answers

20 verified answers4 views
3

355060✔ 75

A
35
B
50
C
60
D
✔ 75
121723

A right pyramid with a regular hexagon base has a height of 3 units.

Answers:
If a side of the hexagon is 6 units long, then the apothem is √3 units long.:3
The slant height is the hypotenuse of a right triangle formed with the apothem and the .:height of the pyramid
Using the Pythagorean theorem c = to find the slant height results in a slant height of units.:6
The lateral area is square units.:108
121724

area of the basebase length✔ height of the pyramidperimeter

A
area of the base
B
base length
C
✔ height of the pyramid
D
perimeter
121725

3✔ 6818

A
3
B
✔ 6
C
8
D
18
121726

654✔ 108216

A
6
B
54
C
✔ 108
D
216
121727

A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone has a slant height of 2 cm and a radius of 1 cm.

Answers:
The lateral area of the cone is π cm2.:2
To wrap paper around the entire lateral surface of the cylinder, π cm2 of paper is needed.:36
The surface area, including the bottom base of the crayon, is π cm2.:41.5
121728

1224✔ 36360

A
12
B
24
C
✔ 36
D
360
121729

40✔ 41.542.543.5

A
40
B
✔ 41.5
C
42.5
D
43.5
121730

A cone has a radius of 5 cm and a slant height of 10 cm.

Answers:
The area of the base of the cone is π cm2.:25
The lateral area of the cone is π cm2.:50
The surface area of the cone is π cm2.:75
121732

Which statements are correct? Check all that apply.

A
The surface area of the sphere in terms of r is 4πr2 square units.
B
The surface area of the cylinder in terms of r is 4πr2 square units.
C
The surface area of the cylinder in terms of r is 6πr2 square units.
D
The surface area of the cylinder and sphere are the same.
E
The surface area of the cylinder and sphere are not the same.
121733

A right cylinder has a radius of r inches and height of 2r inches.

Answers:
In terms of r, the lateral area of the cylinder isr2π square inches.:4
The area of the two bases together is r2π square inches.:2
The total surface area of the cylinder isr2π square inches.:6
121737

1✔ 246

A
1
B
✔ 2
C
4
D
6
121738

124✔ 6

A
1
B
2
C
4
D
✔ 6
121739

A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone has a slant height of 2 cm and a radius of 1 cm.

Answers:
The lateral area of the cone is π cm2.:2
To wrap paper around the entire lateral surface of the cylinder, π cm2 of paper is needed.:36
The surface area, including the bottom base of the crayon, is π cm2.:41.5

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