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Find the area of Triangle A in square centimeters.
Show your reasoning.
A triangle labeled A with a vertical side. One vertex is to the left of the vertical side. A dashed horizontal line is drawn from the first vertex to the vertical side of the triangle and a right angle symbol is indicated. The dashed line and the vertical side are both labeled 4 and one half centimeters.
The area of Triangle B is 8 square units. Find the length of
A triangle labeled B has a horizontal side on the bottom of the triangle and a vertex above the horizontal side. A dashed line is drawn from the vertex to the horizontal sideand a right angle symbol is indicated. The horizontal side is labeled lowercase b and the dashed line is labeled eight thirds.
The area of Triangle C is
What is the length of
A triangle labeled C has a horizontal side at the top of the triangle and a vertex below the horizontal side and to the left. A horizontal line extends from the horizontal side and to the left. A vertical dashed line is drawn from the bottom vertex to the extended horizontal line and a right angle symbol is indicated. The dashed line is labeled h and the horizontal side of the triangle is labeled 3 and three fifths.
Your teacher will give you cubes that have edge lengths of
Here is a drawing of a cube with edge lengths of 1 inch.
How many cubes with edge lengths of
What is the volume, in cubic inches, of a cube with edge lengths of
Use cubes with an edge length of
For each prism, record in the table how many
| prism length (in) |
prism width (in) |
prism height (in) |
number of cubes in prism |
volume of prism (in3) |
|---|---|---|---|---|
| 1 | 1 | |||
| 2 | 1 | |||
| 2 | 2 | 1 | ||
| 4 | 2 | |||
| 5 | 4 | 2 | ||
| 5 | 4 |
If a rectangular prism has edge lengths of 2 units, 3 units, and 5 units, we can think of it as 2 layers of unit cubes, with each layer having
To find the volume of a rectangular prism with fractional edge lengths, we can think of it as being built of cubes that have a unit fraction for their edge length. For instance, if we build a prism that is
The volume of the prism would be
How do we find its volume in cubic inches? We know that each cube with a
The volume of the prism, in cubic inches, can also be found by multiplying the fractional edge lengths in inches: