Tia is going to create another sculpture that has the same dimensions, but it will not be hollow. She plans to use wood for the new sculpture. What dimensions of the triangular prism will Tia need to know in order to determine the amount of wood she will need for the sculpture? Explain.

Tia has to know the dimensions needed to find the volume of the sculpture. She needs to know the area of the base as well as the height of the pyramid. The formula that she has to use is 1/3*B*h.

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PratikshaS PratikshaS · Answer 2 · 2022-06-04T18:54:46+02:00

To determine the amount of wood she will need for the sculpture she should know the height of the triangular prism and the sides of the triangular base of the prism.

What is triangular prism?

"It is a three dimensional geometric structure made up of two triangular bases and three rectangular sides."

What is the volume of the triangular prism?

Volume = Area of the Base × Height of prism

For given example,

The amount of wood she need will be equal to the volume of the triangular prism.

Volume of the triangular prism = Area of the Base × Height of prism

The base of the triangular prism is a triangle.

To find the the area of the triangle, three sides of the triangle should be known or base and height of the triangle.

The height of the triangular prism is nothing but the length of the rectangular side of the triangular prism.

Therefore, to determine the amount of wood she will need for the sculpture she should know the height of the triangular prism and the sides of the triangular base.

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