The figure below is made of two triangular prisms. What is the volume of the figure?
6 in.
14 in.
12 in
8 in
14 in.
7 in.
1,008 cubic inches
896 cubic inches
784 cubic inches
1,792 cubic inches

The figure below is made of two triangular prisms What is the volume of the figure 6 in 14 in 12 in 8 in 14 in 7 in 1008 cubic inches 896 cubic inches 784 cubic class=

Respuesta :

Answer:

1008

Step-by-step explanation:

Answer: B) 896 in^3

Step-by-step explanation:

Let Vx represent the volume of the upper prism and Vy the volume of the lower prism

Find the volume of each prism, and then add the two volumes together

V = BH

Upper prism:

Vx = (1/2)bhH = (1/2)(6)(12)(14)

Vx = 504 in.^3

Lower prism:

Vy = (1/2)bhH = (1/2)(7)(8)(14)

Vy = 392 in.^3

Volume = Vx + Vy

Volume = 504 in^3 + 392 in^3

Volume = 896 in^3