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Question 3//14 3 Find the volume and surface area of the following rectangular prism. volume: ◻ Surface Área: ◻

Question \newlineFind the volume and surface area of the following rectangular prism.\newlinevolume: \newline□\square\newlineSurface Area: \newline□\square

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Volume of cubes and rectangular prisms: word problemsright chevron icon

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Q. Question \newlineFind the volume and surface area of the following rectangular prism.\newlinevolume: \newline□\square\newlineSurface Area: \newline□\square
  1. Question Prompt: Question prompt: Find the volume and surface area of a rectangular prism with given dimensions.
  2. Calculate Volume: To find the volume, multiply the length, width, and height.\newlineAssume the dimensions are the same as the previous problem: Length = 4 cm4\,\text{cm}, Width = 9 cm9\,\text{cm}, Height = 10 cm10\,\text{cm}.\newlineVolume = Length ×\times Width ×\times Height = 4 cm×9 cm×10 cm4\,\text{cm} \times 9\,\text{cm} \times 10\,\text{cm}.
  3. Volume Calculation: Calculate the volume.\newlineVolume = 4×9×10=3604 \times 9 \times 10 = 360 cubic centimeters.
  4. Calculate Surface Area: To find the surface area, calculate the area of all six faces of the prism.\newlineSurface Area = 2lw+2lh+2wh2lw + 2lh + 2wh.
  5. Substitute Dimensions: Substitute the given dimensions into the surface area formula.\newlineSurface Area = 2(4 cm×9 cm)+2(4 cm×10 cm)+2(9 cm×10 cm)2(4 \, \text{cm} \times 9 \, \text{cm}) + 2(4 \, \text{cm} \times 10 \, \text{cm}) + 2(9 \, \text{cm} \times 10 \, \text{cm}).
  6. Calculate Surface Area: Calculate the surface area.\newlineSurface Area = 2(36)+2(40)+2(90)=72+80+1802(36) + 2(40) + 2(90) = 72 + 80 + 180.
  7. Add Areas: Add up the areas to get the total surface area.\newlineSurface Area = 72+80+180=33272 + 80 + 180 = 332 square centimeters.

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