Volume of the composite figure is equals to 6,000 units³.
What is volume?
" Volume is defined as the total space occupied by a three dimensional space shape enclosed in it."
Formula used
Volume of the triangular prism = Area of the base × height
Area of triangle = ( 1 / 2) × base × height
Volume of the rectangular prism = length × width × height
According to the question,
Composite figure consist two shape
1.Triangular prism
2. Rectangular prism
Given,
Height of the triangular prism = 20units
Base of the triangle = 15 units
Height of the triangle = 16units
Length of the rectangular prism = 20units
Width of the rectangular prism = 15units
Height of the rectangular prism = 12units
In triangular prism base is triangle.
Substitute the values in the formula we get,
Area of the triangle = ( 1 / 2) × 15 × 16
= 120 units²
Volume of the triangular prism = 120 × 20
= 2,400 units²
Volume of the rectangular prism = 20 × 15 × 12
= 3,600 units²
Volume of the composite figure
= Volume of triangular prism + Volume of the rectangular prism
= 2,400 + 3,600
= 6,000 units²
Hence, volume of the composite figure is equals to 6,000 units³.
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