Answered

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2. A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Find the volume of the pyramid if x = 10cm and y = 7cm. Round your answer to the nearest tenth. ANSWER ASAP!

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Heather

Answer: 175 cm³

Step-by-step explanation:

       We will find the volume of this pyramid by using the formula for the volume of a right pyramid with a square base. In this formula, V is the volume, b is the base length, and h is the height.

               [tex]\displaystyle V = \frac{1}{4} * b^2 * h[/tex]

       We will substitute our given values and simplify to solve for V.

               [tex]\displaystyle V = \frac{1}{4} * b^2 * h[/tex]

               [tex]\displaystyle V = \frac{1}{4} * x^2 * y[/tex]

               [tex]\displaystyle V = \frac{1}{4} * 10^2 * 7[/tex]

               [tex]\displaystyle V = \frac{7}{4} * 100[/tex]

               [tex]\displaystyle V = \frac{700}{4}[/tex]

               [tex]\displaystyle V =175[/tex]

       Lastly, we will add units. Volume is in cubic units.

                175 cm³

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