The figure shown is a composite figure. What is its volume?
2,622
2,109
3,648
1,387

Answer:
2622
Step-by-step explanation:
The answer can be found by adding up the volume of the two parts of the composite figure, which consists of a triangular prism and a rectangular prism
Volume of the rectangular prism=(Width)(Height)(Length)
=12*7*19
=1596
Volume of the triangular prism=(Base area)(Height)
If the triangle consisting of the sides 9, 12, 15 is a right angled triangle, 9²+12²=15²
The statement above is true
The triangle above is a right angled triangle, where 9 is the height and 12 is the base
Triangle area=(height)(base)(0.5)
=9*12*0.5
=54
Volume of triangular prism=54*19
=1026
Adding up both=1596+1026=2622
V = V1 + V2
V1 = 0.5 x 9 x 12 x 19
V1 = 1,026
V2 = 12 x 19 x 7
V2 = 1,596
V = V1 + V2
V = 1,026 + 1,596
V = 2,622
The answer is 2,622.