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Sati [7]
2 years ago
10

(50 POINTS!!!) find the total surface area and volume, then multiply by $0.004. please show your work!!

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
6 0

The Total surface area of the square pyramid = 115.2 in.²

The Volume of the square pyramid = 1,024 in.³.

<h3>What is the Total Surface Area of a Square Pyramid?</h3>

The total surface are of a square pyramid is given as: TSA = SA = 1/2(P × l), where:

P = perimeter of the square base

l = slant height of the pyramid

<h3>What is the Volume of a Square Pyramid?</h3>

The volume of a square pyramid = 1/3(a³ × h), where:

a = edge of the square base

h = height of the pyramid

Find the Total surface area of the Pyramid:

P = 4(a) = 4(8) = 32 in.

l = 7.2 in.

Total surface area of the square pyramid = 1/2(32 × 7.2)

Total surface area of the square pyramid = 115.2 in.²

Volume of the square pyramid:

a = 8 in.

h = 6 in.

Volume of the square pyramid = 1/3(8³ × 6)

Volume of the square pyramid = 1,024 in.³

Learn more about the square pyramid on:

brainly.com/question/3688277

#SPJ1

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3 years ago
I don't Understand How to answer questions 8, 10, 11, and 12. I have already answered all the other questions on the paper. The
Alexxandr [17]
8) The figure is a heptagon. This means the sum of the interior angles would be 180(7-2) = 5 * 180 = 900. Then this means you can say that the sum of all angles would equal 900.

(133 + 106 + 120 + 133 + (13 - 9)) + (m + m + m) = 900
-------Combine Like terms----------
496 + 3m = 900
-------Subtraction------------
3m = 404
--------Division--------
m = 404/3

If the answer doesn't seem right, just plug it in!

496 + 3(404/3) = 900
496 + 404 = 900
900 = 900

10) Same thing. The sum of the interior angles in a pentagon are 540. 

(122 + 90 + 88 + 96) + k = 540 
396 + k = 540
k = 144

11) The angle supplementary to the angle which measures 138 is 42. The sum of all the interior angles of a quadrilateral is 360. Let us call the missing INTERIOR angle x. 

(104 + 98 + 42) + x = 360
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4 0
3 years ago
In △ABC,a=34, b=18, and c=17. Find m∠A.<br><br> A. 14.1<br> B. 132.6<br> C. 152.5<br> D. 101.5
igomit [66]

Answer:

C.  m < A = 152.5 degrees.

Step-by-step explanation:

Use the Cosine Rule:

a^2 = b^2 + c^2 - 2.b.c.cos A

34^2 = 18^2 + 17^2 - 2.18.17 cos A

2.18.17 cos A = 18^2 + 17^2 - 34^2

cos A =  (18^2 + 17^2 - 34^2) / (2.18.17)

cos A = -0.88725

m < A = 152.5 degrees.

8 0
3 years ago
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