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aliina [53]
3 years ago
12

Find the volume of the pyramid

Mathematics
2 answers:
borishaifa [10]3 years ago
4 0
The volume for this Pyramid is 1200 cubic centimeters.
Minchanka [31]3 years ago
4 0
Volume = Base Area x Height

The base is a square, the Square Area is given by:
Area = Length^2 (Any side measure, because all the sides have the same measure)

So:
-> Square Area = 15^2
-> Square Area = 225 in^2

Square Area = Base Area (Ba) = 225 in^2
Height = 16 in (The right angle formed between the line and base indicates that)

-> V = Ba x Height
-> V = 225 in^2 x 16 in
-> V = 3600 in^3
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PLEASE ANSWER WITH AN EXPLANATION! THANK YOU
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Answer:

\large\boxed{A=153\ cm^2}

Step-by-step explanation:

<em>Look at the picture.</em>

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

A=a^2

Substitute:

A_I=9^2=81\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Substitute:

A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2

The formula of an area of a right triangle:

A=\dfrac{l_1l_2}{2}

Substitute:

A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2

The area of the shape:

A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2

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