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Nesterboy [21]
3 years ago
11

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

lar base has a base length of fourteen centimeters and a height of eighteen centimeters. The height of the pyramid is thirty centimeters long.
Mathematics
2 answers:
Elena L [17]3 years ago
6 0

Answer:

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

notsponge [240]3 years ago
5 0

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}

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