Question

philip was given homework to find the mass, volume and density of objects using the formulas.
select the choice(s) in which the answers are right in each example.
the density of an object is 53 units. the mass of the object is 12 units. philip found the volume to be 636 units.
the volume of an object is 19 units. the density of an object is 7 units. philip found the mass to be 133 units.
the density of an object is 53 units. the mass of the object is 12 units. philip found the volume to be 10.17 units.
the mass of an object was 92 units. the volume of an object was 16 units. philip found the density to be 5.75 units
the volume of an object is 19 units. the density of an object is 7 units. philip found the mass to

Explanation:

To solve this, we use the density formula: $\text{Density} = \frac{\text{Mass}}{\text{Volume}}$, which can be rearranged as $\text{Mass} = \text{Density} \times \text{Volume}$ and $\text{Volume} = \frac{\text{Mass}}{\text{Density}}$. We check each example:

Step 1: First Example

Given $\text{Density} = 53$, $\text{Mass} = 12$.
Using $\text{Volume} = \frac{\text{Mass}}{\text{Density}} = \frac{12}{53} \approx 0.226$, but Philip got 636. Incorrect.

Step 2: Second Example

Given $\text{Volume} = 19$, $\text{Density} = 7$.
Using $\text{Mass} = \text{Density} \times \text{Volume} = 7 \times 19 = 133$. Philip's answer matches. Correct.

Step 3: Third Example

Given $\text{Density} = 53$, $\text{Mass} = 12$.
$\text{Volume} = \frac{12}{53} \approx 0.226$, but Philip got 10.17. Incorrect.

Step 4: Fourth Example

Given $\text{Mass} = 92$, $\text{Volume} = 16$.
$\text{Density} = \frac{92}{16} = 5.75$. Philip's answer matches. Correct.

Step 5: Fifth Example (Incomplete, but assuming similar check)

Wait, the fifth example is cut off. But from visible parts, if it's same as second (Volume=19, Density=7), Mass should be 133. If Philip's answer is 133 (assuming the cut-off is same as second), but the original second is already correct. Wait, the fifth example's text is cut, but from the options, the second and fourth are correct. (Note: The fifth example in the image is likely a repeat or continuation, but based on given info, second and fourth are correct.)

Answer:

The correct choices are:

• The option with "The volume of an object is 19 units... mass to be 133 units" (checked and correct).
• The option with "The mass of an object was 92 units... density to be 5.75 units" (checked and correct).

(Assuming the checkboxes: mark the second and fourth options as correct. If the fifth is a repeat of second, but the given text for fifth is cut, but from visible, second and fourth are correct.)