Find the volume of a pyramid with a square base, where the side length of the base is 12.9cm and the height of the pyramid is 6.2cm. Round your answer to the nearest tenth of a cubic centimeter. Answer: cm^(3)

Calculate Base Area: To find the volume of a pyramid with a square base, we use the formula: Volume = (Base Area × Height) / 3 First, we need to calculate the area of the square base. Base Area = Side Length × Side LengthFind Base Area: Now we calculate the base area using the given side length of 12.9 cm. Base Area = 12.9 cm × 12.9 cm Base Area = 166.41 cm²Use Volume Formula: Next, we use the pyramid volume formula with the calculated base area and the given height of 6.2 cm. Volume = (166.41 cm² × 6.2 cm) / 3Calculate Volume: We perform the multiplication first, then divide by 3 to find the volume. Volume = (1031.742 cm³) / 3 Volume = 343.914 cm³Round Volume: Finally, we round the volume to the nearest tenth of a cubic centimeter as instructed. Volume ≈ 343.9 cm³

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Find the volume of a pyramid with a square base, where the side length of the base is
12.9cm and the height of the pyramid is
6.2cm. 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 side length of the base is $12.9 \mathrm{~cm}$ and the height of the pyramid is $6.2 \mathrm{~cm}$ . Round your answer to the nearest tenth of a cubic centimeter. $\newline$ Answer: $\mathrm{cm}^{3}$

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Grade 7

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Q. Find the volume of a pyramid with a square base, where the side length of the base is

12.9 \mathrm{~cm}

and the height of the pyramid is

6.2 \mathrm{~cm}

. Round your answer to the nearest tenth of a cubic centimeter.

\newline

Answer:

\mathrm{cm}^{3}

Calculate Base Area: To find the volume of a pyramid with a square base, we use the formula: $\newline$ Volume = $(\text{Base Area} \times \text{Height}) / 3$ $\newline$ First, we need to calculate the area of the square base. $\newline$ Base Area = $\text{Side Length} \times \text{Side Length}$
Find Base Area: Now we calculate the base area using the given side length of $12.9\,\text{cm}$ . $\newline$ Base Area = $12.9\,\text{cm} \times 12.9\,\text{cm}$ $\newline$ Base Area = $166.41\,\text{cm}^2$
Use Volume Formula: Next, we use the pyramid volume formula with the calculated base area and the given height of $6.2\,\text{cm}$ . $\newline$ Volume = $(166.41\,\text{cm}^2 \times 6.2\,\text{cm}) / 3$
Calculate Volume: We perform the multiplication first, then divide by $3$ to find the volume. $\newline$ Volume = $(1031.742 \, \text{cm}³) / 3$ $\newline$ Volume = $343.914 \, \text{cm}³$
Round Volume: Finally, we round the volume to the nearest tenth of a cubic centimeter as instructed. $\newline$ Volume $\approx 343.9\,\text{cm}^3$