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3 years ago

A rectangular pyramid has a volume of 525 cubic feet , its base measures 15 feet by 5 feet.what is the height of the pyramid

Advanced Placement (AP)

1 answer:

algol [13]3 years ago

8 0

Answer:

21feet = h

The height of the pyramid is 21 feet

Explanation:

Like the volume of any pyramid and any tetrahedron, the volume is the area of the base by the height and divided by three.

a and b are the sides of the base, which is a rectangle, and therefore a*b is the area of the base.

Volume= a*b*h/3

1) The term we need to know is the h which is the height. What we are going to do is to leave alone the h in one side of the equation applying math properties.

3*V= a*b*h

What we did was to bring the 3 to the other side. It was dividing on the right side of the equiation. To go to the other side, it must multiply the term on the left.

2) Now, we need to bring the a*b to the left side. We take the term and pass it dividing the term on the left.

(3*V )/ (a*b) = h

3) Now we can use the equation to find the height.

(3*525f³) / (15f*5f) = h

21f = h

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