Find the volume of a pyramid with a square base, where the area of the base is 17.5ft^(2) and the height of the pyramid is 14.4ft. Round your answer to the nearest tenth of a cubic foot. Answer: ft^(3)

Identify Formula: Identify the formula to calculate the volume of a pyramid. The volume (V) of a pyramid with a square base can be calculated using the formula: V = (1/3) * base area * heightPlug Values: Plug the given values into the formula. Base area (A) = 17.5 ft² Height (h) = 14.4 ft V = (1/3) * 17.5 * 14.4Perform Multiplication: Perform the multiplication before division as per the order of operations. V = (1/3) * (17.5 * 14.4) V = (1/3) * 252Calculate Volume: Calculate the volume by dividing the product by 3. V = 252 / 3 V = 84 ft³Round Answer: Round the answer to the nearest tenth of a cubic foot. Since the volume is already a whole number, rounding to the nearest tenth would not change the value. V ≈ 84.0 ft³

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Find the volume of a pyramid with a square base, where the area of the base is
17.5ft^(2) and the height of the pyramid is
14.4ft. 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 area of the base is $17.5 \mathrm{ft}^{2}$ and the height of the pyramid is $14.4 \mathrm{ft}$ . Round your answer to the nearest tenth of a cubic foot. $\newline$ Answer: $\mathrm{ft}^{3}$

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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 area of the base is

17.5 \mathrm{ft}^{2}

and the height of the pyramid is

14.4 \mathrm{ft}

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

\newline

Answer:

\mathrm{ft}^{3}

Identify Formula: Identify the formula to calculate the volume of a pyramid. $\newline$ The volume $V$ of a pyramid with a square base can be calculated using the formula: $\newline$ $V = \frac{1}{3} \times \text{base area} \times \text{height}$
Plug Values: Plug the given values into the formula. $\newline$ Base area $A$ = $17.5$ ft $^2$ $\newline$ Height $h$ = $14.4$ ft $\newline$ $V = \frac{1}{3} \times 17.5 \times 14.4$
Perform Multiplication: Perform the multiplication before division as per the order of operations. $\newline$ $V = \frac{1}{3} \times (17.5 \times 14.4)$ $\newline$ $V = \frac{1}{3} \times 252$
Calculate Volume: Calculate the volume by dividing the product by $3$ . $\newline$ $V = \frac{252}{3}$ $\newline$ $V = 84 \text{ ft}^3$
Round Answer: Round the answer to the nearest tenth of a cubic foot. $\newline$ Since the volume is already a whole number, rounding to the nearest tenth would not change the value. $\newline$ $V \approx 84.0$ ft $^3$