In a workshop calculation, you need to find the side of a square base with an area of 64 cm2. What is the correct length?
The side of the base is 8 cm
To determine the side length of a square with a given area, we can use the formula for the area of a square:
\(A = s^2\)
Where \(A\) is the area of the square and \(s\) is the side length of the square. Given the area \(A = 64 \, \text{cm}^2\), we need to find \(s\):
\(s^2 = 64\)
To find \(s\), take the square root of both sides:
\(s = \sqrt{64} = 8 \, \text{cm}\)
Thus, the correct answer is: The side of the base is 8 cm.
Let's verify the other options to ensure their inaccuracy:
- If the side were 6 cm, the area would be \(6^2 = 36 \, \text{cm}^2\).
- If the side were 7 cm, the area would be \(7^2 = 49 \, \text{cm}^2\).
- If the side were 9 cm, the area would be \(9^2 = 81 \, \text{cm}^2\).
Since none of these options give the correct area of 64 cm2, they can be ruled out. Hence, the side of the square base is indeed 8 cm.
Similar Questions
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Important Questions from Mensuration
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- If the radius of a sphere is increased by 2 cm, then its surface area increases by 704 cm\(^2\). Using \(\pi = \frac{22}{7}\), find the radius of the sphere after the increase.
- What is the perimeter of an equilateral triangle with side 13 cm?
- The perimeter of a square is 76 m. Its area (in $m^2$) is:
- A cylindrical rod has an outer curved surface area of 1800 cm$^2$. If the length of the rod is 52 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is:
Take $\pi = \frac{22}{7}$
