Question

the volume of a right rectangular prism is calculated by the formula
to find the volume of a cylinder, you need to know the
of the base and the height.
the shape of the base of a cylinder is a
when calculating the volume of a right rectangular prism, you
multiply the length, width, and
the symbol for pi (π) represents approximately
in the formula for the volume of a cylinder, the exponent on the
radius (r) is
to find the volume of a right rectangular prism, you need three
measurements: length, width, and
when comparing volumes of different shapes, it is important to
use the correct

Explanation:

Step1: Volume of right - rectangular prism formula

The volume \( V\) of a right - rectangular prism with length \( l\), width \( w\), and height \( h\) is \( V=l\times w\times h\).

Step2: Volume of cylinder formula

The volume formula of a cylinder is \( V=\pi r^{2}h\), where \( \pi r^{2}\) is the area of the circular base. So, we need the area of the base.

Step3: Shape of cylinder base

A cylinder has two circular bases.

Step4: Volume of right - rectangular prism formula (again)

From \( V = l\times w\times h\), the third dimension is height.

Step5: Value of \(\pi\)

\(\pi\approx3.14\) (a common approximation).

Step6: Exponent in cylinder volume formula

In \( V=\pi r^{2}h\), the exponent on \( r\) is \( 2\).

Step7: Measurements for right - rectangular prism

From \( V = l\times w\times h\), the three measurements are length, width, and height.

Step8: Units of measurement

When comparing volumes (or any measurements), consistent units (e.g., cubic centimeters, cubic meters) are necessary.

Answer:

1. \( V = l\times w\times h\)
2. area
3. circle
4. height
5. \( 3.14\)
6. \( 2\)
7. height
8. units of measurement