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The volume of a square pyramid is 48 in^3 with a height of 4 inches. Find the length of one of the side of the base.

User Pika
by
7.7k points

2 Answers

1 vote

Answer:

6 in

Explanation:

The volume formula for a square-base pyramid of side length x and height h is V = (1/3)x²h. We want to solve this for the base side length x:

Multiplying both sides by (3/h) results in:

3V

----- = x² and so the side length, x, is √(3V/h).

h

Substituting 4 in for h and 48 in³ for V, we get: x = √(144 in³/4 in) = 6 in

Check: Does the volume formula given above result in 48 in³ when x = 6 in and h = 4 in?

V = (1/3)x²h = (1/3)(6 in)²(4 in) = 48 in³ YES: x = 6 in is correct.

User Havnar
by
7.7k points
6 votes

Answer:

6 inches

Explanation:

area of square = 48 x 3 / 4 = 36 in^2

side = 6 in

User Antonio Carito
by
7.6k points

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