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Which formula could be used to find the area of the base (B) of the given figure? Determine the volume of the figure.
A) B = bh; 22.5 yds3
B) B = (b1 + b2)h; 216 yds3
C) B = 1 2 (b1 + b2); 7 yds3
D) B = 1 2 (b1 + b2)h; 168 yds3

Which formula could be used to find the area of the base B of the given figure Determine the volume of the figure A B bh 225 yds3 B B b1 b2h 216 yds3 C B 1 2 b class=

Respuesta :

calculista

Answer:

Option D.

[tex]B=\frac{1}{2}(b1+b2)h[/tex], [tex]168\ yd^{3}[/tex]

Step-by-step explanation:

Part a) we know that

The figure is a trapezoidal prism

The volume is equal to

[tex]V=BL[/tex]

where B is the area of the base

L is the length of the prism

Find the area of the base B

[tex]B=\frac{1}{2}(b1+b2)h[/tex]

substitute the values

[tex]B=\frac{1}{2}(9+5)(4)=28\ yd^{2}[/tex]

Part b) Find the volume

we have

[tex]B=28\ yd^{2}[/tex]

[tex]L=6\ yd[/tex]

substitute

[tex]V=28(6)=168\ yd^{3}[/tex]

ohgeekaykay

Answer:D because is like finding the area of a trapezoid and adding the volume of a prism.

Step-by-step explanation:

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