Question

Help me please!!!!! Thank you

Answer 1

Answer:

75 in³

Step-by-step explanation:

The formula of a volume of a pyramid:

$V=\dfrac{1}{3}BH$

B - area of a base

H - height

In a base we have the right triangle with legs 9in and 5in.

The formula of an area of a right triangle:

$A=\dfrac{ab}{2}$

ab - legs

Substitute:

$B=\dfrac{(5)(9)}{2}=\dfrac{45}{2}\ in^2$

The height H = 10 in.

Calculate the volume:

$V=\dfrac{1}{3\!\!\!\!\diagup_1}\left(\dfrac{45\!\!\!\!\!\diagup^{15}}{2\!\!\!\!\diagup_1}\right)(10\!\!\!\!\!\diagup^5)=(1)(15)(5)=75\ in^3$

Answer 2

Answer:

15/2 in³

Step-by-step explanation:

The formula for the vol. of a pyramid

is

V = (1/3)(area of base)(height of pyramid)

Here, the volume is:

V = (1/3)( [1/2][5 in][9 in] )·(10 in)

   = (9/3)(5/2)(10) in³

    =  450/6 in³   =   150/2 in³  =  75 in³     Volume of the pyramid