Find the volume of a pyramid with a square base, where the perimeter of the base is 10m and the height of the pyramid is 13.3m. Round your answer to the nearest tenth of a cubic meter. Answer: m^(3)

Calculate Side Length: To find the volume of a pyramid with a square base, we first need to determine the area of the base. The formula for the volume of a pyramid is V = (1/3) * base area * height. Since the perimeter of the base is given as 10 meters, we can find the length of one side of the square base by dividing the perimeter by 4. Calculation: Side length = Perimeter / 4 = 10m / 4 = 2.5mCalculate Base Area: Now that we have the side length of the square base, we can calculate the area of the base. The area of a square is found by squaring the length of one side. Calculation: Base area = Side length^2 = (2.5m)^2 = 6.25m^2Calculate Volume: With the base area calculated, we can now use the volume formula for a pyramid. We will multiply the base area by the height of the pyramid and then divide by 3 to find the volume. Calculation: Volume = (1/3) * base area * height = (1/3) * 6.25m^2 * 13.3mFinal Volume Calculation: Performing the multiplication and division to find the volume, we get: Calculation: Volume = (1/3) * 6.25m^2 * 13.3m = 2.083333... * 13.3m = 27.708333...m^3 Rounding to the nearest tenth, we get 27.7m^3.

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Find the volume of a pyramid with a square base, where the perimeter of the base is
10m and the height of the pyramid is
13.3m. 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 $10 \mathrm{~m}$ and the height of the pyramid is $13.3 \mathrm{~m}$ . Round your answer to the nearest tenth of a cubic meter. $\newline$ Answer: $\mathrm{m}^{3}$

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

10 \mathrm{~m}

and the height of the pyramid is

13.3 \mathrm{~m}

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

\newline

Answer:

\mathrm{m}^{3}

Calculate Side Length: To find the volume of a pyramid with a square base, we first need to determine the area of the base. The formula for the volume of a pyramid is $V = (\frac{1}{3}) \times \text{base area} \times \text{height}$ . Since the perimeter of the base is given as $10$ meters, we can find the length of one side of the square base by dividing the perimeter by $4$ . $\newline$ Calculation: Side length = Perimeter / $4$ = $10$ m / $4$ = $2.5$ m
Calculate Base Area: Now that we have the side length of the square base, we can calculate the area of the base. The area of a square is found by squaring the length of one side. $\newline$ Calculation: Base area = Side length $^2$ = $(2.5\,\text{m})^2$ = $6.25\,\text{m}^2$
Calculate Volume: With the base area calculated, we can now use the volume formula for a pyramid. We will multiply the base area by the height of the pyramid and then divide by $3$ to find the volume. $\newline$ Calculation: Volume = $(\frac{1}{3}) \times \text{base area} \times \text{height} = (\frac{1}{3}) \times 6.25\,\text{m}^2 \times 13.3\,\text{m}$
Final Volume Calculation: Performing the multiplication and division to find the volume, we get: $\newline$ Calculation: Volume = $(\frac{1}{3}) \times 6.25\,\text{m}^2 \times 13.3\,\text{m}$ = $2.083333... \times 13.3\,\text{m}$ = $27.708333...\,\text{m}^3$ $\newline$ Rounding to the nearest tenth, we get $27.7\,\text{m}^3$ .