Square-Based Pyramid: Finding Missing Dimensions and Surface Area
Square-Based Pyramid: Finding Missing Dimensions and Surface Area
Secondary 2
The figure below is a pyramid with a square base of side \(x\) cm and height \(12\) cm.
Given that its volume is \(196\) cm\(^{3}\), find
- the value of \(x\),
- the total surface area.
Assume the apex is vertically above the centre of the square base (a right square-based pyramid). This condition is needed for the stated surface-area and height calculations.
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Answer:(a) \(x=7\) (b) \(224\text{ cm}^2\)
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