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MissTica
3 years ago
6

What is the volume of this pyramid? • 7560 cm³ • 5040 cm³ • 2520 cm³ • 1728 cm³

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

Volume = 2520 cm^3.

Step-by-step explanation:

The volume of a pyramid = 1/3 * area of the base * height.

The base of this pyramid is a triangle and its area

= 1/2 * 18 * 24 cm^2 so the volume of the pyramid is:

1/3 * 1/2 * 18 * 24 * 35

= 2520 cm^3.

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Answer:

240 m³

Explanation:

The volume of a pyramid is equal to:

V=\frac{1}{3}\times B\times H

Where B is the area of the base and H is the height of the pyramid.

Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

B=\frac{b\times h}{2}

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

B=\frac{16\times9}{2}=\frac{144}{2}=72m^2

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

V=\frac{1}{3}\times72\times10=\frac{1}{3}\times720=240m^3

Therefore, the volume is 240 m³

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