Math Problem Statement

What is the volume of a rectangular prism with dimensions 16 cm (length), 7 cm (width), and 8 cm (height)?

Solution

The volume of a rectangular prism (like the one shown in the image) is calculated using the formula:

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

From the image:

  • Length (LL) = 16 cm
  • Width (WW) = 7 cm
  • Height (HH) = 8 cm

Substitute these values into the formula:

Volume=16×7×8=896cubic centimeters (cm³).\text{Volume} = 16 \times 7 \times 8 = 896 \, \text{cubic centimeters (cm³)}.

Final Answer:

The volume of the prism is 896 cm³.

Do you want more explanation or have any related questions?

Related Questions:

  1. How do you calculate the surface area of this prism?
  2. What would be the volume if one of the dimensions doubled?
  3. What are other 3D shapes where volume can be calculated similarly?
  4. How do unit conversions (e.g., cm³ to m³) work for volume?
  5. What is the relationship between volume and density?

Tip:

Always double-check the units of measurements and ensure all dimensions are in the same unit before calculating volume!