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Alenkinab [10]
3 years ago
10

0 Xa The owner of a large electronic store building wants to install air-conditioning. The size of the air condicioner depends o

n the capacity of the building Below is a diagram with the dimensions of the building. The diagram is not drawn to scale. Notes canst out of a rectangular prism and a triangular prism Calculate the volume of the building ​
Mathematics
1 answer:
Softa [21]3 years ago
6 0

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

<em>The volume of the building is </em>180m^3<em />

The given parameters are:

<u>Rectangular prism</u>

<u />Length = 3m; Width = 8m; Height = 5m<u />

<u />

<u>Triangular Prism</u>

<u />Base = 3m; Horizontal\ Height= 8m; Vertical\ Height = 5m<u />

<u />

<u />

The volume of the rectangular prism is:

<u />V_1 = Length \times Width \times Height<u />

<u />V_1 = 3m \times 8m \times 5m<u />

<u />V_1 = 120m^3<u />

<u />

<u />

The volume of the triangular prism is:

<u />V_2 = \frac 12 \times Base \times Horzontal \times Vertical\ Height<u />

<u />V_2 = \frac 12 \times 3m \times 8m \times 5m<u />

<u />V_2 =60m^3<u />

<u />

So, the volume of the building is:

V = V_1 + V_2

V = 120m^3 + 60m^3

V = 180m^3

Hence, the volume of the building is 180m^3

Read more about volumes at:

brainly.com/question/15861918

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