Calculate the volume of a pyramid with a square base, where the perimeter of the base is 5.7cm and the height of the pyramid is 8.6cm. Round your answer to the nearest tenth of a cubic centimeter.

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Answer: 5.821125=5.8

Volume of the pyramid is  5.6 cubic centimeter

What is a pyramid?

3-diamensional structures having triangle faces and an encompassing polygon at the base is called a pyramid.

What is a rectangular pyramid?

3-diamensional structures having 4 triangle faces and a rectangular base is called a rectangular pyramid.

What is perimeter?

The sum of all the sides of a quadrilateral is called its perimeter

What is nearest tenth?

Round to the nearest tenth means to write the given decimal number up to one decimal place.

How to find the volume of a pyramid with a square base?

  • To find the volume of a pyramid with a square base we can use the formula,

                       V = a²h/3

where,             V = volume of a pyramid with a square base

                        a = length of side of the square base

                         h = height of the pyramid.

According to the problem,

  • perimeter of the base is 5.7cm.

∴ 4a = 5.7 cm

⇒ a = 1.4 cm

  • the height of the pyramid is 8.6 cm.

So, volume of the pyramid = (1.4)² x (8.6)/3 cubic centimeter

                                            =  5.6 cubic centimeter

volume of the pyramid is  5.6 cubic centimeter

Find out more information about calculation of volume of pyramid here: https://brainly.com/question/21510592

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