Math Problem Statement

What is the volume of the rectangular prism shown in the image?

Solution

The image shows a rectangular prism (cuboid) with the following dimensions:

  • Height: 3 cm
  • Width: 1 cm
  • Length: 1.4 cm

To find the volume of this rectangular prism:

The volume of a rectangular prism is given by the formula:

V=length×width×heightV = \text{length} \times \text{width} \times \text{height}

Substituting the values from the image:

V=1.4cm×1cm×3cm=4.2cm3V = 1.4 \, \text{cm} \times 1 \, \text{cm} \times 3 \, \text{cm} = 4.2 \, \text{cm}^3

So, the volume of the prism is 4.2 cubic centimeters.

Would you like further details or have any questions on this?

Related Questions:

  1. How do you find the surface area of this prism?
  2. What is the lateral surface area of this prism?
  3. How do we calculate the diagonal of the prism?
  4. How would the volume change if the dimensions doubled?
  5. How do these volume calculations relate to cylinders or spheres?

Tip:

Remember, the unit of volume is always cubic units, like cm³ or m³, which helps distinguish it from surface area, measured in square units like cm².

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Rectangular Prism

Formulas

Volume = length × width × height

Theorems

Formula for the volume of a cuboid (rectangular prism)

Suitable Grade Level

Grades 5-7