Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

essential aks review unit 4 properties of matter name: period: what is …

Question

essential aks review unit 4 properties of matter
name:
period:
what is the equation for density?
how does the triangle work? __________ what you are solving for

  • variables:
  • d = ________, unit = ________
  • m = ________, unit = ________
  • v = ________, unit = ________

example:

  1. what is the density of a metal cube with a volume of 18 cm³ and a mass of 45 g?
given & unknownsequationplug - in #’sanswer with units

measuring volume two ways:
a regular shape block or cube:
formula: __________
of
what is the volume of a metal block
that measures 3 cm × 5 cm × 7 cm?
__________
an irregularly shaped object (key, rock):
subtract the __________ volume -
__________ volume to find the volume
the object.
what is the volume of the purple shape?

Explanation:

Step1: Recall Density Formula

The formula for density (\(D\)) is \(D=\frac{m}{V}\), where \(m\) is mass and \(V\) is volume.

Step2: Identify Given Values

Given \(m = 45\space g\) and \(V=18\space cm^3\).

Step3: Plug Values into Formula

Substitute \(m = 45\) and \(V = 18\) into \(D=\frac{m}{V}\), so \(D=\frac{45}{18}\).

Step4: Calculate the Result

\(\frac{45}{18}=2.5\space g/cm^3\).

Answer:

The density of the metal cube is \(2.5\space g/cm^3\).