High School

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Which of the following samples has the largest volume?

A) \(3.2 \times 10^{-4}\) KL
B) \(3.2 \times 10^{3}\) dL
C) \(3.2 \times 10^{4}\) hL
D) \(3.2 \times 10^{-6}\) μL
E) \(3.2\) L

Answer :

Final answer:

Sample C, which is 3.2×10⁴ hL, has the largest volume when converted to liters, equaling 3,200,000 L. Volume of a solid is measured in cubic units. For example, if dimensions are given in meters, then the volume will be in cubic meters.

Explanation:

The question asks which one of the given samples has the largest volume. To find out, we need to convert all volumes to the same unit, such as liters (L), and then compare them. We have the following conversions: 1 kL = 1,000 L, 1 dL = 0.1 L, 1 hL = 100 L, 1 μL = 1×10−6 L, and 1 L is the standard.

  • A) 3.2×10−4 KL = 3.2×10−4 × 1,000 L = 0.32 L
  • B) 3.2×103 dL = 3.2×103 × 0.1 L = 320 L
  • C) 3.2×104 hL = 3.2×104 × 100 L = 3,200,000 L
  • D) 3.2×10−6 μL = 3.2×10−6 L
  • E) 3.2 L

Therefore, sample C) 3.2×104 hL has the largest volume, equating to 3,200,000 liters.

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere.

Different shapes have different volumes. In 3D geometry, we have studied the various shapes and solids such as cubes, cuboids, cylinders, cones, etc., that are defined in three dimensions. For all these shapes, we are going to learn to find the volume.

Volume of a solid is measured in cubic units. For example, if dimensions are given in meters, then the volume will be in cubic meters. This is the standard unit of volume in the International System of Units (SI). Similarly, other units of volume are cubic centimeters, cubic feet, cubic inches, etc.

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