Math Problem Statement

Calculate the volume of a rectangular prism with dimensions 5 cm, 3 cm, and 4 cm.

Solution

The image shows a problem involving a three-dimensional rectangular prism (or cuboid) with dimensions provided: length = 5 cm, width = 3 cm, and height = 4 cm.

The question asks for the volume of the rectangular prism.

Solution:

To find the volume of a rectangular prism, you can use the formula:

Volume=Length×Width×Height\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}

Given the dimensions:

  • Length (L) = 5 cm
  • Width (W) = 3 cm
  • Height (H) = 4 cm

Substitute the values into the formula:

Volume=5cm×3cm×4cm\text{Volume} = 5 \, \text{cm} \times 3 \, \text{cm} \times 4 \, \text{cm}

Now, calculate the volume:

Volume=5×3×4=60cm3\text{Volume} = 5 \times 3 \times 4 = 60 \, \text{cm}^3

Answer:

The volume of the rectangular prism is 60 cubic centimeters (cm³).

Would you like more details or have any questions?

Here are some related questions you might find helpful:

  1. How do you find the surface area of a rectangular prism?
  2. What is the formula for finding the diagonal of a rectangular prism?
  3. How does changing one dimension of a prism affect its volume?
  4. What are the properties of a rectangular prism?
  5. How can we find the volume of other 3D shapes, like a cylinder or a cone?

Tip: Remember, the volume of any 3D object measures the amount of space it occupies. For a rectangular prism, it's always the product of its three dimensions.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation

Formulas

Volume = Length × Width × Height

Theorems

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Suitable Grade Level

Grades 5-7