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iren [92.7K]
3 years ago
11

Which expression represents the total surface area, in square centimeters, of the square pyramid?

Mathematics
2 answers:
Anit [1.1K]3 years ago
5 0

Answer:

Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]

Step-by-step explanation:

From figure we can see a square pyramid with base edge 8.2 and slant height 10.3

Points to remember

Total area of square pyramid = Base area + Lateral face area

Lateral face area = 4 * One face area

<u>To find the lateral face area</u>

The face is like a triangle with base 8.2 and slant height = 10.3

Area of triangle = bh/2

Face area = 1/2(8.2) (10.3)

Lateral surface area = 4[1/2(8.2) (10.3)]

To find the base are

Base is a square with base edge = 8.2

Base area = side * side = (8.2)(8.2)

<u>To find the total area of pyramid</u>

Total area = Base area + Lateral face area

Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]

Therefore the correct answer is first option

elena-14-01-66 [18.8K]3 years ago
4 0

Answer:

(8.2)(8.2) + 4[1/2(8.2) (10.3)]

Step-by-step explanation:

a. i tooke

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First mug holds the most

<em><u>Solution:</u></em>

Given that,

You are choosing between two mugs

<em><u>The volume of cylinder is given as:</u></em>

V = \pi r^2h

Where,

r is the radius and h is the height

<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>

radius = \frac{diameter}{2}

Therefore,

r = \frac{5.5}{2}\\\\r = 2.75

Also, h = 3 inches

<em><u>Thus volume of cylinder is given as:</u></em>

V = \pi \times 2.75^2 \times 3\\\\V = 3.14 \times 22.6875\\\\V = 71.23875 \approx 71.24

Thus first mug holds 71.24 cubic inches

<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>

Radius = \frac{4.5}{2}\\\\r = 2.25

h = 4 inches

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V = 3.14 \times 2.25^2 \times 4\\\\V = 3.14 \times 20.25\\\\V = 63.585

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