What is the volume of these rectangular prisms?

Mathematics

2 answers:

ankoles [38]3 years ago

6 0

<em>Multiply the length, the width, and the height. You can multiply them in any order to get the same different result. The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.</em>

anzhelika [568]3 years ago

5 0

Volume of a rectangle prism is found by <em>multiplying length, width, and height</em>.

So:

3. 9 1/3 * 4 * 6 1/2 = 28/3 * 4 * 13/2 = 1456/6 = 242 2/3 in³

4. 2 1/2 * 5 3/4 * 8 = 5/2 * 23/4 * 8 = 920/8 = 115 yd³

You might be interested in

Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t

rodikova [14]

$\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}$

The distance traveled by the particle is given by the definite integral

$\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $C$ is the path of the particle. The distance is then

$\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi$