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Find the height of a square pyramid that has a volume of 25 3/5 meters and a base with 4 meter sides

2 Answers

4 votes

Answer:

The height of the square pyramid is 4.8 meters.

Explanation:

I just know

User Chamith Malinda
by
8.4k points
4 votes

ANSWER

The height of the square pyramid is 4.8m

EXPLANATION

The volume of a square pyramid is calculated using the formula:


Volume = (1)/(3)(base \: area) * height

It was given that;

The volume of the square pyramid is


25 (3)/(5) {m}^(3)

The side length of the square base is


4m

We substitute the given values and then solve for the height.


25 (3)/(5) = (1)/(3)( {4}^(2) ) * height

We solve for the height to obtain;


height = (25 (3)/(5) )/( (16)/(3) )

We simplify to get;


height = 4.8m

Hence, the height of the square pyramid is 4.8 meters.

User FMCorz
by
8.1k points

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