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

1008

Step-by-step explanation:

B) 896 in^3

Step-by-step explanation:

Let Vx represent the upper prism and Vy 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

n

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204