Question

What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangular base has a base length of fourteen centimeters and a height of eighteen centimeters. The height of the pyramid is thirty centimeters long.

Answer 1

The volume of the pyramid is 1,260cm3

Answer 2

The volume of the pyramid is
`1,260\ cm^(3)`

Explanation:

we know that

The volume of the triangular pyramid is equal to

`V=(1)/(3)BH`

where

B is the area of the triangular base

H is the height of the pyramid

step 1

Find the area of the base B

`B=(1)/(2)bh`

we have

`b=14\ cm`

`h=18\ cm`

substitute

`B=(1)/(2)(14)(18)=126\ cm^(2)`

step 2

Find the volume

we have

`B=126\ cm^(2)`

`H=30\ cm`

substitute

`V=(1)/(3)BH`

`V=(1)/(3)(126)(30)=1,260\ cm^(3)`