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Find the volume of a pyramid with a square base, where the side length of the base is 6.5 in and the height of the pyramid is 3.8 in. 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 side length of the base is $6$ . $5$ in and the height of the pyramid is $3$ . $8$ in. Round your answer to the nearest tenth of a cubic inch. $\newline$ Answer: in $^{3}$

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Volume of cubes and rectangular prisms: word problems

Full solution

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

6

.

5

in and the height of the pyramid is

3

.

8

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

\newline

Answer: in

^{3}

Identify Formula: Identify the formula for the volume of a pyramid with a square base. The formula is $\text{Volume} = \frac{1}{3} \times \text{base area} \times \text{height}$ .
Calculate Base Area: Calculate the area of the square base. The area of a square is given by side length squared. $\newline$ Area = $6.5 \, \text{in} \times 6.5 \, \text{in} = 42.25 \, \text{in}^2$ .
Use Volume Formula: Use the volume formula with the calculated base area and the given height. $\newline$ Volume = $(\frac{1}{3}) \times 42.25 \, \text{in}^2 \times 3.8 \, \text{in}$ .
Perform Multiplication: Perform the multiplication to find the volume. $\newline$ Volume = $(\frac{1}{3}) \times 42.25 \times 3.8$ $\newline$ Volume = $14.083333... \times 3.8$ $\newline$ Volume = $53.516666...$ in³.
Round Volume: Round the volume to the nearest tenth of a cubic inch. Volume $\approx 53.5$ in $^3$ .

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