Example Question - measurement
Here are examples of questions we've helped users solve.
Multiplication of Mixed Fraction and a Measurement
<p>Convert the mixed number \(9 \frac{7}{6}\) to an improper fraction:</p> <p>\(9 \frac{7}{6} = \frac{9 \times 6 + 7}{6} = \frac{54 + 7}{6} = \frac{61}{6}\)</p> <p>Now multiply with \(32 \, \text{kg}\):</p> <p>\(\frac{61}{6} \times 32 = \frac{61 \times 32}{6}\)</p> <p>Calculate \(61 \times 32 = 1952\), so:</p> <p>\(\frac{1952}{6}\)</p> <p>Now simplify:</p> <p>Divide \(1952\) by \(6\): \(1952 \div 6 = 325.3333\) (approximately)</p> <p>The final answer in kg is \(325.33 \, \text{kg}\) (rounded to two decimal places).</p>
Determining the Density of a Solid Stone
The method used to determine the density of a solid stone involves measuring the mass of the stone and its volume. The density \(\rho\) can then be calculated using the formula: <p>\(\rho = \frac{m}{V}\)</p> Where: - \(\rho\) is the density - \(m\) is the mass of the stone - \(V\) is the volume of the stone To measure the mass (\(m\)), you can use a balance. To find the volume (\(V\)), if the stone is irregularly shaped, you can use the displacement method by submerging it in water and measuring the volume of water displaced, which is equivalent to the volume of the stone.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com