volume?

[Kathy Knighton]

A landscaper uses tiles to make a walkway through a garden. Each tile is a regular hexagonal prism. The material used for thhe tiles weighs 2 g per cubic centimeter. How much does each tile weigh?
Is this asking for volume?
Height of tile is 4 cm and each side is 15 cm and from center of tile to outside is 13 cm.

 

[Ishuda]

A landscaper uses tiles to make a walkway through a garden. Each tile is a regular hexagonal prism. The material used for thhe tiles weighs 2 g per cubic centimeter. How much does each tile weigh?
Is this asking for volume?
Height of tile is 4 cm and each side is 15 cm and from center of tile to outside is 13 cm.

Yes, you do need the volume which will be so many cubic centimeters. When multiplied by a g per cubic centimeter you will be left with a number of grams.

 

[Kathy Knighton]

A landscaper uses tiles to make a walkway through a garden. Each tile is a regular hexagonal prism. The material used for thhe tiles weighs 2 g per cubic centimeter. How much does each tile weigh?
Is this asking for volume?
Height of tile is 4 cm and each side is 15 cm and from center of tile to outside is 13 cm.

so what is the volume? How do you find the volume of a hexagonal prism?

 

[Ishuda]

so what is the volume? How do you find the volume of a hexagonal prism?

You could figure it out or just look it up on the web, i.e.
http://en.wikipedia.org/wiki/Hexagonal_prism

 

[HallsofIvy]

An important ambiguity is exactly what, in "from center of tile to outside is 13 cm", "outside" refers to. Do you mean the center of an ouside edge or a vertex? A regular hexagon can be divided into 6 equilateral triangles by drawing lines from the center of the hexagon to the six vertices.

If the "13 cm" is from the center of the hexagon to a vertex, then the "base" of each triangle has length 13 while the "altitude" has length $\displaystyle 13\frac{\sqrt{3}}{2}$. Since the area of a triangle is "1/2 height times base", the area of each of the six equilateral triangles making up the hexagon is $\displaystyle 169\frac{\sqrt{3}}{4}$.

If, instead, the "13 cm" is from the center of the hexagon to the center of a side, then the "base" of each triangle has length $\displaystyle \frac{2\sqrt{3}}{2}s$ while the altitude has length 13. The area or each triangle, in this case, is $\displaystyle 169\frac{\sqrt{3}}{3}$.

The area of the hexagon is, of course, 6 times the area of each triangle and the volume of a prizm is the area of the base times the height of the prizm.

 

[Kathy Knighton]

Volume of hexagonal prism?

You could figure it out or just look it up on the web, i.e.
http://en.wikipedia.org/wiki/Hexagonal_prism

This makes no sense to me!! Could you explain it to me , please?

 

[Kathy Knighton]

volume

This makes no sense to me!! Could you explain it to me , please?

This is for a 7th grader, in regular math. All I can find on internet talks about an apothem, which they have not heard of. Is there another way to figure this?

 

[Ishuda]

This makes no sense to me!! Could you explain it to me , please?

The link gives the following formula:

V = $\displaystyle \frac{3 \sqrt{3}}{2} a^2 h$

where a is the side length [15 cm in your case], and h is the height [4 cm in your case].