Question

ASAP!! ITS URGENT!

The base of a triangular pyramid forms a right triangle. The legs of the triangle are 3 cm and 8 cm. If the altitude of the pyramid is 15 cm, what is the volume of the pyramid?

Answer 1

60cm^3

Explanation:

the formula for volume of a pyramid is 1/3B*h

where B is the area of the base and h is the height of the pyramid so

=1/3(1/2*3*8)(15)

=1/3(12)(15)

=1/3*180

=60cm^3

Answer 2

60 cubic centimeters

Explanation:

The volume of a pyramid can be calculated using the formula:

V = (1/3) * B * h

where V is the volume, B is the area of the base, and h is the height.

In this case, the base of the pyramid is a right triangle with legs of 3 cm and 8 cm. The area of a right triangle is (1/2) * base * height, so the area of this base is:

B = (1/2) * 3 cm * 8 cm = 12 cm^2

The height of the pyramid is given as 15 cm.

Therefore, the volume of the pyramid is:

V = (1/3) * 12 cm^2 * 15 cm = 60 cm^3

So the volume of the pyramid is 60 cubic centimeters.