The diagram shows a solid square-based pyramid with a slant height of $17$ cm. The square has side

Question

The diagram shows a solid square-based pyramid with a slant height of $17$ cm. The square has sides of $16$ cm.

Find

the total surface area,
the height,

of the pyramid.

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.

Accepted Answer

(a) $800\text{ cm}^2$ (b) $h=15\text{ cm}$

Slant Height of a Square Pyramid – Surface Area & Height

Slant Height of a Square Pyramid – Surface Area & Height

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