Q: What is the volume of a right square pyramid with a height of 3 centimeters and a base that measures 8 centimeters by 8 centimeters?

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Volume of pyramid: 1/3*8squared*3 = 64 cubic cm

Volume = 288 cm3

28 cm to the 3rd power.

There are quite a few ways you could find the height of a square pyramid. You could measure the sides for example.

Because the Hypotinuse is the sum of the square of the other two sides. The sum of the square of the base plus the square of the height equals the slope.

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The volume of the pyramid is: 48 cm3

base times height

72 cm square.

Volume of pyramid: 1/3*8squared*3 = 64 cubic cm

Volume = 288 cm3

28 cm to the 3rd power.

To find the perpendicular height of a square pyramid, first compute for the volume of the pyramid. Then divide the volume by the area of the base to find pyramid's height.

16 square cm

The surface area of the pyramid is superfluous to calculating the slant height as the slant height is the height of the triangular side of the pyramid which can be worked out using Pythagoras on the side lengths of the equilateral triangle: side² = height² + (½side)² → height² = side² - ¼side² → height² = (1 - ¼)side² → height² = ¾side² → height = (√3)/2 side → slant height = (√3)/2 × 9cm = 4.5 × √3 cm ≈ 7.8 cm. ---------------------------- However, the surface area can be used as a check: 140.4 cm² ÷ (½ × 9 cm × 7.8 cm) = 140.4 cm² ÷ 35.1 cm² = 4 So the pyramid comprises 4 equilateral triangles - one for the base and 3 for the sides; it is a tetrahedron.

There are quite a few ways you could find the height of a square pyramid. You could measure the sides for example.

Because the Hypotinuse is the sum of the square of the other two sides. The sum of the square of the base plus the square of the height equals the slope.

The volume of a square pyramid with height 7 and base 5 is 58.33 cubic units.