Question

Help me please!!!!! Thank you

Answer 1

75 in³

Explanation:

The formula of a volume of a pyramid:

`V=(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=(ab)/(2)`

ab - legs

Substitute:

`B=((5)(9))/(2)=(45)/(2)\ in^2`

The height H = 10 in.

Calculate the volume:

`V=(1)/(3\!\!\!\!\diagup_1)\left((45\!\!\!\!\!\diagup^(15))/(2\!\!\!\!\diagup_1)\right)(10\!\!\!\!\!\diagup^5)=(1)(15)(5)=75\ in^3`

Answer 2

15/2 in³

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