Find the volume of a pyramid with a square base, where the side length of the base is 13.3ft and the height of the pyramid is 18.1ft. Round your answer to the nearest tenth of a cubic foot. Answer: ft^(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 Volume Formula: Now we calculate the base area using the side length given, which is 13.3ft. Base Area = 13.3ft * 13.3ft Base Area = 176.89ft^2Perform Calculation: Next, we use the pyramid volume formula with the base area we just calculated and the given height of 18.1ft. Volume = (Base Area * Height) / 3 Volume = (176.89ft^2 * 18.1ft) / 3Round to Nearest Tenth: Now we perform the multiplication and then the division to find the volume. Volume = (176.89ft^2 * 18.1ft) / 3 Volume = 3200.689ft^3 / 3 Volume = 1066.896333ft^3Finally, we round the volume to the nearest tenth of a cubic foot as requested. Volume ≈ 1066.9ft^3

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Find the volume of a pyramid with a square base, where the side length of the base is
13.3ft and the height of the pyramid is
18.1ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
ft^(3)

Find the volume of a pyramid with a square base, where the side length of the base is $13.3 \mathrm{ft}$ and the height of the pyramid is $18.1 \mathrm{ft}$ . Round your answer to the nearest tenth of a cubic foot. $\newline$ Answer: $\mathrm{ft}^{3}$

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Math Problems

Grade 7

Convert between customary and metric systems

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

13.3 \mathrm{ft}

and the height of the pyramid is

18.1 \mathrm{ft}

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

\newline

Answer:

\mathrm{ft}^{3}

Calculate Base Area: To find the volume of a pyramid with a square base, we use the formula: $\newline$ Volume = $\frac{\text{Base Area} \times \text{Height}}{3}$ $\newline$ First, we need to calculate the area of the square base. $\newline$ Base Area = $\text{Side Length} \times \text{Side Length}$
Find Volume Formula: Now we calculate the base area using the side length given, which is $13.3\text{ft}$ . $\newline$ Base Area = $13.3\text{ft} \times 13.3\text{ft}$ $\newline$ Base Area = $176.89\text{ft}^2$
Perform Calculation: Next, we use the pyramid volume formula with the base area we just calculated and the given height of $18.1$ ft. $\text{Volume} = \frac{\text{Base Area} \times \text{Height}}{3}$ $\text{Volume} = \frac{176.89\text{ft}^2 \times 18.1\text{ft}}{3}$
Round to Nearest Tenth: Now we perform the multiplication and then the division to find the volume. $\newline$ Volume = $\frac{176.89\,\text{ft}^2 \times 18.1\,\text{ft}}{3}$ $\newline$ Volume = $\frac{3200.689\,\text{ft}^3}{3}$ $\newline$ Volume = $1066.896333\,\text{ft}^3$
Round to Nearest Tenth: Now we perform the multiplication and then the division to find the volume. $\newline$ Volume = $\frac{176.89\,\text{ft}^2 \times 18.1\,\text{ft}}{3}$ $\newline$ Volume = $\frac{3200.689\,\text{ft}^3}{3}$ $\newline$ Volume = $1066.896333\,\text{ft}^3$ Finally, we round the volume to the nearest tenth of a cubic foot as requested. $\newline$ Volume $\approx 1066.9\,\text{ft}^3$