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spin [16.1K]
3 years ago
9

OABCD is a pyramid with a rectangular base of sides 15cm by 9cm.Given that the slant height OQ is 16cm find its

Mathematics
2 answers:
Darya [45]3 years ago
7 0

Answer:

height =  h = 13.4 cm

volume =  V = 602.8 cm³

Step-by-step explanation:

area of a square base = 15 cm x 9 cm = 135 cm²

slant height of pyramid = 16m

<u>solving height:</u>   (see attached image)

first step is to take the diagonal base:

side of base 15 =  15 / 2 = 7.5cm

side of base 9 = 9 / 2 = 4.5m

diagonal base = sqrt ( 7.5² + 4.5²) = 8.75 cm

therefore

height² = slant height² - diagonal base²

h² = 16² - 8.75²

h = 13.4 cm

<u>solving the volume:</u>

V = 1/3 * area of square base * h

V = 1/3 * 135 * 13.4

V = 602.8 cm³

crimeas [40]3 years ago
3 0

Hello! Your answer is below... Remember : h = height and v = volume

Answer:

H = 15.35 cm

V = 690.75 m^

Step-by-step explanation:

(H= height, V = volume, ^= square, √ = square root )

1. divide 9/2

=4.5 cm

2. use the pythagorean theorem

H=√16^-4.5^

H=15.35

if your looking for volume

1. use the formula for volume of the pyramid which is:

1/3 x base area x height

or

base area x height /3

2. then you substitute

1/3 x (9)(15) x 15.35

or

(9)(15) x 15.35 /3

V= 690.75 m^

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

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If the length of a side of a square is x CM its perimeter is​
andreev551 [17]

Square perimeter =4x cm.

The complete length that a square's edge encompasses is referred to as its perimeter. Any enclosed geometric shape's perimeter may be computed by measuring the space around it.

By calculating the total of all the sides of a square, the perimeter may be determined. The perimeter of a square will be stated as,

The perimeter of square = s + s + s + s

⇒Perimeter of square = 4s, where "s" is the side length of the square.

This is because all edges of a square are equal and each edge measures "s" units.

<h3>Calculating the perimeter of a square:</h3>

Mathematically, the formula for calculating a square's perimeter is: Square perimeter, (P) = 4 Side

⇒P= 4x cm

It is concluded that the solution is 4x cm.

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The value of the set  (A∪C)'∩B is {9 , 12} .

A subfield of mathematical logic called set theory examines sets, which are essentially collections of objects.

  • Set theory is a discipline of mathematics that largely addresses problems that are pertinent to mathematics as a whole, despite the fact that any kind of object can be constructed into a set.
  • Set theory is founded on a simple binary relationship between an object o and a set A.
  • It is written as o A if o is a part (or member) of A. Members of a set are enumerated with commas to denote separation when describing them, or a property of those parts is enclosed in braces.
  • Sets can be associated by the membership relation since they are objects.

The given sets are:

U ={1,2,3,4,5,6,7,8,9,10,11,12,13}

A = {3,7,11,13}

B = {3,6,9,12,13}

C = {2,3,5,6,7,8}

Now B' = {1,2,4,5,7,8,10,11}

b) B'∩C = {2,5,7,8,}

c) A∪C = {2,3,5,6,7,8,11,13}

(A∪C)' = {1,4,9,10,12}

(A∪C)'∩B = {9 , 12}

Hence the value of the set (A∪C)'∩B is {9 , 12} .

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