Find the volume of a pyramid with a square base, where the perimeter of the base is 16.6m and the height of the pyramid is 18.1m. Round your answer to the nearest tenth of a cubic meter. Answer: m^(3)

Identify Formula: Identify the formula for the volume of a pyramid with a square base. The formula is Volume = (Base Area * Height) / 3.Calculate Side Length: Calculate the side length of the square base using the perimeter. The perimeter (P) of a square is 4 times the side length (s), so P = 4s. Given P = 16.6 meters, we can find s by dividing the perimeter by 4. s = 16.6 meters / 4 s = 4.15 metersCalculate Base Area: Calculate the area of the square base. The area (A) of a square is given by A = s^2, where s is the side length. A = (4.15 meters)^2 A = 17.2225 square metersCalculate Volume: Calculate the volume of the pyramid using the base area and the height. The height (h) is given as 18.1 meters. Volume = (Base Area * Height) / 3 Volume = (17.2225 square meters * 18.1 meters) / 3 Volume = (311.72725 cubic meters) / 3 Volume = 103.9090833 cubic metersRound Volume: Round the volume to the nearest tenth of a cubic meter. Volume ≈ 103.9 cubic meters

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Find the volume of a pyramid with a square base, where the perimeter of the base is
16.6m and the height of the pyramid is
18.1m. Round your answer to the nearest tenth of a cubic meter.
Answer:
m^(3)

Find the volume of a pyramid with a square base, where the perimeter of the base is $16.6 \mathrm{~m}$ and the height of the pyramid is $18.1 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$

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Math Problems

Grade 6

Volume of cubes and rectangular prisms: word problems

Full solution

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

16.6 \mathrm{~m}

and the height of the pyramid is

18.1 \mathrm{~m}

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

\newline

Answer:

\mathrm{m}^{3}

Identify Formula: Identify the formula for the volume of a pyramid with a square base. The formula is $\text{Volume} = \frac{\text{Base Area} \times \text{Height}}{3}$ .
Calculate Side Length: Calculate the side length of the square base using the perimeter. The perimeter $P$ of a square is $4$ times the side length $s$ , so $P = 4s$ . Given $P = 16.6$ meters, we can find $s$ by dividing the perimeter by $4$ . $\newline$ $s = \frac{16.6 \text{ meters}}{4}$ $\newline$ $s = 4.15$ meters
Calculate Base Area: Calculate the area of the square base. The area $A$ of a square is given by $A = s^2$ , where $s$ is the side length. $\newline$ $A = (4.15 \, \text{meters})^2$ $\newline$ $A = 17.2225 \, \text{square meters}$
Calculate Volume: Calculate the volume of the pyramid using the base area and the height. The height $h$ is given as $18.1$ meters. $\newline$ Volume = $(\text{Base Area} \times \text{Height}) / 3$ $\newline$ Volume = $(17.2225$ square meters $\times 18.1$ meters) / $3$ $\newline$ Volume = $(311.72725$ cubic meters) / $3$ $\newline$ Volume = $103.9090833$ cubic meters
Round Volume: Round the volume to the nearest tenth of a cubic meter. Volume $\approx 103.9$ cubic meters