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.
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Important Questions from Mensuration
In a circular garden of radius 15 m, a path of 2 m wide has to be made inside the garden at the rate of ₹ 24 per sq. m. The cost of making the path is: (Take π = \(\frac{22}{7}\) )
A hollow cylinder with outer radius 4 cm and height 2 cm is made up of 1 cm thick metal sheet. What is the volume of metal used? (Take π = \(\frac{22}{7}\))
The sides of a triangular park are 60 m, 297 m and 303 m. Its area is equal to the area of a square-shaped garden. What is the perimeter (in m) of the garden?
The length and breadth of a rectangular field are in the ratio 4 : 3. If the cost of cultivating the field at ₹2 per m 2is ₹600, then the length of the field is:
A cylindrical tank has a capacity of 5632 m3. If the diameter of its base is 8 m, what is the depth of the cylindrical tank? (Use π = \(\frac{22}{7}\))
