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A heap of sand in the form of a square based pyramid is twice as tall as it is wide. If the volume, V, of the sand is 10 m3, find the height, h, of the heap. Give your answer, in metres, correct to two decimal places.

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The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

How to solve volume

Volume is the amount of space occupied by a three dimensional shape or object. Examples of shape with volume are cone, cube, cuboid, pyramid, prism and so on.

The volume of a pyramid = (1/3) * base area * height

Let base = b

height = 2 * base = 2b

Since volume is 10 m³, hence:

10 = (1/3) * b * b * 2b

b = 2.47 m, h = 2(2.47) = 4.93 m

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

Find out more on volume at: https://brainly.com/question/1972490

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