Respuesta :

Answer: 2520 cm³


Step-by-step explanation:

1. You must use the following formula for calculate the volume of a triangular pyramid, which is:

[tex]V=\frac{B*h}{3}[/tex]

Where B is the area of the base and h is the height.

2. Calculate the area of the triangular base:

[tex]B=\frac{24cm*18cm}{2}\\B=216cm^{2}[/tex]

3. Susbstiute values into the formula for calculate the volume. Then, you obtain the following result:

 [tex]V=\frac{216cm^{2}*35cm}{3}=2520cm^{3}[/tex]


Answer:

The correct answer is option 3. volume of Pyramid=2520 cm³

Step-by-step explanation:

Formula:

Volume of triangular pyramid is 1/3 *(Base area * Height)

Area of triangle = 1/2(Base * Height)

To find Base area of base  triangle

Base  b = 18 cm

Height = 24 cm

Area A =  1/2(Base * Height) = 1/2(18*24) = 216 cm²

To find the volume of pyramid

Base area = 216 cm² and height = 35 cm

Volume V = 1/3 *(Base area * Height)

V = 1/3(216*35) = 2520 cm³

Therefore option 3 is the correct answer

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