We appreciate your visit to The surface area of a cube is 54 in² What is the volume of the cube A 27 in³ B 54 in³ C 81 in³. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer: A
We know that a cube has six equal sides, so we can divide 54 by 6
54/6 = 9
That means that each side is 9 square inches. And because each side is a perfect square, we can get the square root of the area to get the side lengths.
√9 = 3 inches
This means that the side lengths are 3 inches, and we know that the volume of a cube is length cubed. So that gives us
3^3 = 3*3*3 = 27 cu. Inches
Therefore a cube with a surface area of 54 square inches has a volume of 27 cubic inches.
We know that a cube has six equal sides, so we can divide 54 by 6
54/6 = 9
That means that each side is 9 square inches. And because each side is a perfect square, we can get the square root of the area to get the side lengths.
√9 = 3 inches
This means that the side lengths are 3 inches, and we know that the volume of a cube is length cubed. So that gives us
3^3 = 3*3*3 = 27 cu. Inches
Therefore a cube with a surface area of 54 square inches has a volume of 27 cubic inches.
Thanks for taking the time to read The surface area of a cube is 54 in² What is the volume of the cube A 27 in³ B 54 in³ C 81 in³. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Final answer:
The surface area of a cube is used to find the length of its sides, which then allows for the calculation of the cube's volume. In this case, the volume of the cube is 27 cubic inches.
Explanation:
The surface area of a cube is the total area of all six faces combined. Since a cube has equal sides, we can divide the total surface area by 6 to find the area of one face. If the surface area of the cube is 54 in2, the area of one face is 54 in2 ÷ 6 = 9 in2. The length of one side of the cube (s) is the square root of the area of one face, so s = √9 = 3 in. To find the volume of the cube, we cube the length of one side, resulting in V = s3 = 3 in x 3 in x 3 in = 27 in3. Therefore, the volume of the cube is 27 in3 or option A.
Learn more about Volume of Cube here:
https://brainly.com/question/23526372
#SPJ11
