Find the volume of a pyramid with a square base, where the area of the base is 16.6in^(2) and the height of the pyramid is 20.9in. Round your answer to the nearest tenth of a cubic inch. Answer: in ^(3)

Recall Formula: Recall the formula for the volume of a pyramid with a square base. The formula for the volume V of a pyramid with a square base is V = (1/3) * base area * height.Plug in Values: Plug in the given values for the base area and height into the formula. The base area A is given as 16.6 in², and the height h is given as 20.9 in. So, V = (1/3) * 16.6 in² * 20.9 in.Calculate Volume: Calculate the volume using the given values. V = (1/3) * 16.6 * 20.9 = (1/3) * 347.14 in³.Simplify Calculation: Simplify the calculation to find the volume. V = 347.14 in³ / 3 = 115.713333... in³.Round Answer: Round the answer to the nearest tenth of a cubic inch. The volume V rounded to the nearest tenth is approximately 115.7 in³.

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Find the volume of a pyramid with a square base, where the area of the base is
16.6in^(2) and the height of the pyramid is
20.9in. Round your answer to the nearest tenth of a cubic inch.
Answer: in
^(3)

Find the volume of a pyramid with a square base, where the area of the base is $16.6 \mathrm{in}^{2}$ and the height of the pyramid is $20.9 \mathrm{in}$ . Round your answer to the nearest tenth of a cubic inch. $\newline$ Answer: in $^{3}$

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Grade 6

Evaluate variable expressions: word problems

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

16.6 \mathrm{in}^{2}

and the height of the pyramid is

20.9 \mathrm{in}

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

\newline

Answer: in

^{3}

Recall Formula: Recall the formula for the volume of a pyramid with a square base. $\newline$ The formula for the volume $V$ of a pyramid with a square base is $V = \frac{1}{3} \times \text{base area} \times \text{height}$ .
Plug in Values: Plug in the given values for the base area and height into the formula. $\newline$ The base area $A$ is given as $16.6$ in $^2$ , and the height $h$ is given as $20.9$ in. $\newline$ So, $V = (\frac{1}{3}) \times 16.6$ in $^2 \times 20.9$ in.
Calculate Volume: Calculate the volume using the given values. $\newline$ $V = \frac{1}{3} \times 16.6 \times 20.9 = \frac{1}{3} \times 347.14$ in $^3$ .
Simplify Calculation: Simplify the calculation to find the volume. $V = \frac{347.14 \, \text{in}^3}{3} = 115.713333\ldots \, \text{in}^3$ .
Round Answer: Round the answer to the nearest tenth of a cubic inch. $\newline$ The volume $V$ rounded to the nearest tenth is approximately $115.7$ in $^3$ .