Chapter 2 Review: Measurements Practice Quiz

The meter is the standard unit of length in the metric system, serving as the foundation for other measurements. Understanding this unit is essential for performing measurement conversions.

There are 100 centimeters in one meter, which is a basic conversion in the metric system. This conversion is fundamental for solving many measurement problems.

A ruler is a common measuring tool for determining the length of objects in a classroom setting. It provides a straightforward and reliable way to measure small distances accurately.

Adding 3 feet and 2 feet gives a total of 5 feet. This basic arithmetic operation is essential for performing measurements and calculating lengths.

The cubic meter is the official SI unit for volume, although liters are also commonly used for liquid measurements. Distinguishing between these units is important when solving volume problems.

Since 1 kilometer is equal to 1000 meters, multiplying 3.5 by 1000 gives 3500 meters. This conversion is a common requirement when dealing with distance measurements.

The area of a rectangle is found by multiplying its length by its width, so 12 m × 7 m equals 84 square meters. This formula is foundational in solving area problems.

The area of a triangle is calculated by taking half the product of its base and height. With a base of 10 cm and height of 5 cm, the area is 25 cm².

A square has four equal sides, so each side is found by dividing the perimeter by 4. Therefore, 36 cm divided by 4 gives 9 cm per side.

The volume of a rectangular prism is determined by multiplying its length, width, and height together. In this case, 4 m × 3 m × 2 m equals 24 m³.

Since there are 60 minutes in one hour, multiplying 2.5 by 60 gives 150 minutes. This conversion is essential in understanding measurements of time.

There are 1000 grams in a kilogram, so 1500 grams is equivalent to 1.5 kilograms. Understanding unit conversions like this is key in solving weight problems.

The radius of a circle is half the diameter. For a circle with a 10 cm diameter, the radius is 5 cm.

Since 1 liter is equal to 1000 milliliters, 5 liters is equal to 5000 milliliters. This conversion is routinely used in various measurement scenarios.

Subtracting 3 feet from 12 feet results in a remaining length of 9 feet. This simple subtraction is a basic yet vital arithmetic skill.

The volume of a cylinder is calculated by the formula πr²h. Using the radius of 1.5 m and height of 3 m, the computation approximates to 21.2 cubic meters. This problem reinforces the application of the cylinder volume formula.

First, convert 2.25 kilometers to 2250 meters and 3 minutes to 180 seconds. Dividing 2250 meters by 180 seconds yields a speed of 12.5 m/s. This multi-step conversion is essential for solving speed problems.

Multiplying the map distance (7.8 cm) by the scale factor (5 km/cm) provides the actual distance: 7.8 × 5 = 39 km. This problem tests the ability to apply scale factors in map reading.

Setting up the equation for the combined area of the pool and deck and solving the resulting quadratic equation results in a deck width of approximately 2.3 meters. This problem integrates area calculations with problem-solving techniques.

An increase of 25% in length and 20% in width multiplies the original area by 1.25 × 1.20 = 1.5, which means the area increases by 50%. This problem tests understanding of percentage increases in two dimensions.