Question

A right square pyramid has an altitude of 10, and each side of the base is 6. To the nearest tenth of a centimeter, what is the distance from the apex, or top of the pyramid, to each vertex of the base? Right square pyramid is represented. The square base has side labeled 6. The height of the pyramid is labeled 10. Edge along the top vertex of a triangular face is labeled x. Units.

Options:
a) 3.6 cm
b) 8.7 cm
c) 10.4 cm
d) 12.2 cm

Answer 1

The distance from the apex to each vertex of a right square pyramid can be found using the Pythagorean theorem. The correct answer is d) 12.2 cm

Step-by-step explanation:

We have a right square pyramid with an altitude of 10 and each side of the base measuring 6. To find the distance from the apex to each vertex of the base, we can use the Pythagorean theorem.

The distance from the apex to each vertex is equal to the square root of the sum of the altitude squared and half the base length squared.

In this case, it is equal to the square root of (10² + (6/2)²). Simplifying, we get the square root of (100 + 9) which is approximately 10.44 cm. Therefore, the correct answer is d) 12.2 cm.