What is the volume of this pyramid? 945 cm³ 1260 cm³ 1890 cm³ 2520 cm³ A pyramid with a right triangular base. The right triangu

Question

2 years ago

11

lar base has a base length of fourteen centimeters and a height of eighteen centimeters. The height of the pyramid is thirty centimeters long.

2 answers:

Elena L [17] · Answer 1 · 2023-11-01T11:02:45+03:00

6 0

Answer:

<h2>The volume of the pyramid is 1,260cm3</h2>

notsponge [240] · Answer 2 · 2023-11-01T09:20:14+03:00

Answer:

The volume of the pyramid is $1,260\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

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

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

$B=\frac{1}{2}bh$

we have

$b=14\ cm$

$h=18\ cm$

substitute

$B=\frac{1}{2}(14)(18)=126\ cm^{2}$

step 2

Find the volume

we have

$B=126\ cm^{2}$

$H=30\ cm$

substitute

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

$V=\frac{1}{3}(126)(30)=1,260\ cm^{3}$