Answer:
720
Step-by-step explanation:
The volume of a pyramid is V= b x h x 1/3 . b is the area of the base and h is the height of the pyramid. First we must find the area of the base. Since the base is a triangle we will use the formula for the area of a triangle A= b x h x 1/2 so A= 9 x 15 x 1/2 simplify A=135 x 1/2. This is also just 135 divided by 2. A=67.5 Now we can use this to find the volume. V= 67.5 x 32 x 1/3. V= 2160 x 1/3. (or just divided by 3). Lastly, V= 720
The volume of this pyramid is 720 cm³
To find the volume we need to understand first its properties and formula.
The volume of a pyramid is found using the formula V = (1/3) bh,
where 'b' = base area of the pyramid & 'h' = height of the pyramid.
[tex]\rm The\;volume\; of\; a\; Pyramid \;V = b \times h \times \dfrac{1}{3}[/tex]
b = area of the base
h = height of the pyramid.
First we will find the Area of the base. Then, the base is a triangle we will be using the formula for the area of a triangle
[tex]\rm A= b \times h \times \dfrac{1}{2}\\\\\rm A= 9 \times 15 \times \dfrac{1}{2} \\On\; simplifying \\\\A=135\times \dfrac{1}{2}\\ A=67.5[/tex]
Now, we will use to find the volume of pyramid,
[tex]\rm V= 67.5 \times 32 \times \dfrac{1}{3} \\\\ V= 2160 \times \dfrac{1}{3}[/tex]
Therefore,The volume of this pyramid is 720 cm³
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