Find the volume of a pyramid with a square base, where the perimeter of the base is 13.2 in and the height of the pyramid is 6.6in. Round your answer to the nearest tenth of a cubic inch. Answer: in ^(3)

Find Side Length: First, we need to find the length of one side of the square base. Since the perimeter of a square is four times the length of one side, we can find the side length by dividing the perimeter by 4. Perimeter of base = 13.2 in Side length = Perimeter / 4 Side length = 13.2 in / 4 Side length = 3.3 inCalculate Base Area: Next, we calculate the area of the square base using the side length we just found. Area of base = Side length * Side length Area of base = 3.3 in * 3.3 in Area of base = 10.89 in^2Find Volume: Now, we can find the volume of the pyramid. The volume of a pyramid is one-third the product of the base area and the height. Volume = (1/3) * Base area * Height Volume = (1/3) * 10.89 in^2 * 6.6 in Volume = (1/3) * 71.874 in^3 Volume = 23.958 in^3Round to Nearest Tenth: Finally, we round the volume to the nearest tenth of a cubic inch. Volume ≈ 24.0 in^3

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Find the volume of a pyramid with a square base, where the perimeter of the base is 13.2 in and the height of the pyramid is
6.6in. 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 perimeter of the base is $13$ . $2$ $\text{in}$ and the height of the pyramid is $6.6$ $\mathrm{in}$ . Round your answer to the nearest tenth of a cubic inch. $\newline$ Answer: $\text{in}$ $^{3}$

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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

13

2

\text{in}

and the height of the pyramid is

6.6

\mathrm{in}

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

\newline

Answer:

\text{in}

^{3}

Find Side Length: First, we need to find the length of one side of the square base. Since the perimeter of a square is four times the length of one side, we can find the side length by dividing the perimeter by $4$ . $\newline$ Perimeter of base = $13.2\,\text{in}$ $\newline$ Side length = Perimeter $/$ $4$ $\newline$ Side length = $13.2\,\text{in} / 4$ $\newline$ Side length = $3.3\,\text{in}$
Calculate Base Area: Next, we calculate the area of the square base using the side length we just found. $\newline$ Area of base = Side length $\times$ Side length $\newline$ Area of base = $3.3$ in $\times$ $3.3$ in $\newline$ Area of base = $10.89$ in $^2$
Find Volume: Now, we can find the volume of the pyramid. The volume of a pyramid is one-third the product of the base area and the height. $\newline$ Volume = $(\frac{1}{3}) \times \text{Base area} \times \text{Height}$ $\newline$ Volume = $(\frac{1}{3}) \times 10.89 \text{ in}^2 \times 6.6 \text{ in}$ $\newline$ Volume = $(\frac{1}{3}) \times 71.874 \text{ in}^3$ $\newline$ Volume = $23$ . $958$ \text{ in}^ $3$
Round to Nearest Tenth: Finally, we round the volume to the nearest tenth of a cubic inch. $\newline$ Volume $\approx 24.0$ in $^3$