Question

The figure shown is a composite figure. What is its volume?

2,622
2,109
3,648
1,387

Answer 1

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.

Answer 2

2622

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