Question

1.13) a rectangular room is 5 m long and 3 m wide. what is its area?
a. 8 m²
b. 15 m²
c. 2 m²
1.14) the an object is, the greater its volume.
a. bigger
b. smaller
c. heavier
1.15) the base unit for volume in the metric system is the.
a. gram
b. meter
c. liter
1.16) which of these can be used to calculate the volume of a rectangular ob
a. mass/volume
b. length × width × height
c. length × width
1.17) a can be used to measure the volume of irregularly shaped objects
a. thermometer
b. spring scale
c. graduated cylinder

Explanation:

1.13

Step1: Recall the area formula for a rectangle

The formula for the area \(A\) of a rectangle is \(A = \text{length}\times\text{width}\).

Step2: Substitute the given values

Given length \(l = 5\space m\) and width \(w=3\space m\), then \(A=5\times3\).

Step3: Calculate the product

\(5\times3 = 15\space m^{2}\).

1.14

Step1: Understand the relationship between size and volume

Volume is a measure of the amount of space an object occupies. Generally, the bigger an object is (in terms of its three - dimensional extent), the greater its volume. Heavier refers to mass (related to weight, \(F = mg\)), and smaller would mean less volume.

1.15

Step1: Recall metric system units

• Gram (\(g\)) is a unit of mass.
• Meter (\(m\)) is a unit of length.
• Liter (\(L\)) is a base unit for volume in the metric system (e.g., \(1\space L= 1000\space cm^{3}\)).

1.16

Step1: Recall volume formulas

• The formula \(\frac{\text{mass}}{\text{volume}}\) gives density (\(

ho=\frac{m}{V}\)).

• For a rectangular object (a rectangular prism), the volume \(V=\text{length}\times\text{width}\times\text{height}\). The formula \(\text{length}\times\text{width}\) gives the area of the base (for a 2 - D rectangle or the base area of a prism).

1.17

Step1: Recall the function of each instrument

• A thermometer measures temperature.
• A spring scale measures force (often used to measure weight, \(F = mg\)).
• A graduated cylinder can be used to measure the volume of irregularly - shaped objects (e.g., using the water displacement method: \(V = V_{final}-V_{initial}\) when an object is submerged in water).

Answer:

1.13) B. \(15\space m^{2}\)
1.14) A. bigger
1.15) C. liter
1.16) B. length \(\times\) width \(\times\) height
1.17) C. graduated cylinder