Question

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

Answer 1

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

The volume of the building is $180m^3$

The given parameters are:

Rectangular prism

$Length = 3m; Width = 8m; Height = 5m$

Triangular Prism

$Base = 3m; Horizontal\ Height= 8m; Vertical\ Height = 5m$

The volume of the rectangular prism is:

$V_1 = Length \times Width \times Height$

$V_1 = 3m \times 8m \times 5m$

$V_1 = 120m^3$

The volume of the triangular prism is:

$V_2 = \frac 12 \times Base \times Horzontal \times Vertical\ Height$

$V_2 = \frac 12 \times 3m \times 8m \times 5m$

$V_2 =60m^3$

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 $180m^3$

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