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Find the volume of a pyramid with a square base, where the area of the base is 
15.4cm^(2) and the height of the pyramid is 
13.2cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer: 
cm^(3)

Find the volume of a pyramid with a square base, where the area of the base is 15.4 cm2 15.4 \mathrm{~cm}^{2} and the height of the pyramid is 13.2 cm 13.2 \mathrm{~cm} . Round your answer to the nearest tenth of a cubic centimeter.\newlineAnswer: cm3 \mathrm{cm}^{3}

Full solution

Q. Find the volume of a pyramid with a square base, where the area of the base is 15.4 cm2 15.4 \mathrm{~cm}^{2} and the height of the pyramid is 13.2 cm 13.2 \mathrm{~cm} . Round your answer to the nearest tenth of a cubic centimeter.\newlineAnswer: cm3 \mathrm{cm}^{3}
  1. Identify Formula: Identify the formula to calculate the volume of a pyramid with a square base.\newlineThe formula for the volume of a pyramid is V=13×base area×heightV = \frac{1}{3} \times \text{base area} \times \text{height}.
  2. Plug Values: Plug the given values into the formula.\newlineBase area A=15.4cm2A = 15.4 \, \text{cm}^2\newlineHeight h=13.2cmh = 13.2 \, \text{cm}\newlineVolume V=13×A×hV = \frac{1}{3} \times A \times h
  3. Perform Calculation: Perform the calculation using the given values.\newlineV=13×15.4cm2×13.2cmV = \frac{1}{3} \times 15.4 \, \text{cm}^2 \times 13.2 \, \text{cm}
  4. Calculate Volume: Calculate the volume.\newlineV=13×15.4×13.2V = \frac{1}{3} \times 15.4 \times 13.2\newlineV=5.133333×13.2V = 5.133333\ldots \times 13.2\newlineV=67.76cm3V = 67.76 \, \text{cm}^3 (unrounded)
  5. Round Volume: Round the volume to the nearest tenth of a cubic centimeter. V67.8V \approx 67.8 cm3^3

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