Below is a diagram of a rabbit tunnel in the shape of a triangular prism.

150 cm
120 cm
2.5 m
90 cm
What is the volume of the tunnel?
m
Volume = area of cross-section x length
Area of triangle = bxh

Respuesta :

The volume of a shape is the amount of space in it:

The volume of the tunnel using the assumed values is [tex]810000cm^3[/tex]

The image of the tunnel is missing, so I will use the following parameters to answer the question:

[tex]b = 150cm[/tex]

[tex]h=120cm[/tex]

[tex]l = 90cm[/tex]

See attachment for the image that illustrates the above parameters

First, we calculate the area of the triangle

[tex]Area = \frac 12 \times b \times h[/tex]

So, we have:

[tex]Area = \frac 12 \times 150cm \times 120cm[/tex]

[tex]Area = 9000cm^2[/tex]

The volume is then calculated as:

[tex]Volume = Area \times Length[/tex]

This gives

[tex]Volume = 9000cm^2 \times 90cm[/tex]

[tex]Volume = 810000cm^3[/tex]

Hence, the volume of the tunnel is [tex]810000cm^3[/tex]

Read more about volumes at:

https://brainly.com/question/1578538

Ver imagen MrRoyal