Kabir wants to know the volume of a solid right pyramid with a square base. he uses a ruler to measure the length of the base as 8 inches. he then measures the slant height to be 5 inches. the hypotenuse of the right triangle used to determine the height is inches. the leg of the right triangle that lies on the same plane as the base is inches. the height of the pyramid is inches. the volume of the solid pyramid is cubic inches.

Respuesta :

The First one is 5: The Second is 4The Third is 3: The Fourth is 64

Volume of a square pyramid = 64 in.²

Height = 3 in.

Hypotenuse of the right triangle = 5 in.

Leg = 4 in.

What is the Violume of a Square Pyramid?

Volume of a square pyramid = 1/3 × a² × h

Given the following:

  • Slant height = 5 inches
  • Length of base side (a) = 8 inches.

The hypotenuse of the right triangle = 5 in.

The leg of the triangle on the same plane with the base of the pyramid = 1/2(8) = 4 in.

Using the pythagorean theorem, the height (h) of the pyramid = √(5² - 4²) = 3 in.

Find the Volume of a square pyramid:

Volume of a square pyramid = 1/3 × 8² × 3

Volume of a square pyramid = 64 in.²

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