Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To determine the correct expression that represents the volume of a solid right pyramid with a square base, we need to use the formula for the volume of a pyramid. The general formula for the volume [tex]\( V \)[/tex] of a pyramid is:
[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
In this case, the pyramid has a square base with an edge length of [tex]\( x \)[/tex] cm. For a square, the area [tex]\( A \)[/tex] of the base is:
[tex]\[ A = x^2 \, \text{cm}^2 \][/tex]
The height of the pyramid is given as [tex]\( y \)[/tex] cm. Substituting these values into the volume formula, we get:
[tex]\[ V = \frac{1}{3} \times x^2 \times y \][/tex]
Thus, the correct expression representing the volume of the pyramid is:
[tex]\[ \frac{1}{3} x^2 y \, \text{cm}^3 \][/tex]
So, the correct answer is:
[tex]\[ \frac{1}{3} x^2 y \, \text{cm}^3 \][/tex]
[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
In this case, the pyramid has a square base with an edge length of [tex]\( x \)[/tex] cm. For a square, the area [tex]\( A \)[/tex] of the base is:
[tex]\[ A = x^2 \, \text{cm}^2 \][/tex]
The height of the pyramid is given as [tex]\( y \)[/tex] cm. Substituting these values into the volume formula, we get:
[tex]\[ V = \frac{1}{3} \times x^2 \times y \][/tex]
Thus, the correct expression representing the volume of the pyramid is:
[tex]\[ \frac{1}{3} x^2 y \, \text{cm}^3 \][/tex]
So, the correct answer is:
[tex]\[ \frac{1}{3} x^2 y \, \text{cm}^3 \][/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.