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Mathematics 16 Online
OpenStudy (shaleiah):

Could someone check my answer for Geometry?

OpenStudy (shaleiah):

OpenStudy (shaleiah):

1895.4?

OpenStudy (mathstudent55):

You have a hexagonal prism. The volume of a prism is the area of the base multiplied by the height. The base is a regular hexagon. You are given the side and the apothem of the hexagonal base. Look up the formula of the area of a regular polygon given the side and the apothem. find the area of the hexagon and multiply it by the height of the prism.

OpenStudy (mathstudent55):

You are correct.

OpenStudy (mathstudent55):

1/2 * apothem * perimeter = area of base area of base * height = vol of prism

OpenStudy (shaleiah):

@mathstudent55

OpenStudy (mathstudent55):

This is a triangular pyramid. The volume of a pyramid is one-third the product of the area of the base and the height of the pyramid.

OpenStudy (mathstudent55):

The triangular base is a right triangle. The two legs measuring 3 cm and 4 cm are at right angles to each other. They can be used as the base and height of the triangular base. Find the area of the base.

OpenStudy (shaleiah):

60

OpenStudy (shaleiah):

@mathstudent55

OpenStudy (mathstudent55):

??? (base * height) / 2 (3 * 4) /2

OpenStudy (shaleiah):

6

OpenStudy (shaleiah):

@mathstudent55

OpenStudy (mathstudent55):

Good. Now multiply the area of the base by the height of the pyramid and divide by 3.

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