Question

A right pyramid 15 cm high stands on a square base of side 16 cm. Find its total surface area

Answer 1

Answer:

answer is 15 into 16

Step-by-step explanation:

totoal surface means Linton b

Answer 2

Given:

• Height of pyramid = 15cm
• Side of square = 16cm

To Find:

• Total surface area of right pyramid.

Solution:

   Total surface area of right pyramid is given by

        T.S.A = Area of base + $\frac{1}{2}$ × Slant height × Perimeter of base

     Base of the pyramid is square

So,

         Area of square $= ( side)^2$

                                   $= (16)^2$

                                   $= 256 cm^2$

Perimeter of square $= 4 \times side$

                                   $= 4 \times 16$

                                   $= 64cm$

Slant height   $= \sqrt{(Height)^2 + (\frac{Side }{2})^2 }$

                        $= \sqrt{(15)^2 + (\frac{16 }{2})^2 }$

                       $= \sqrt{225 + 64}$

                       $= 17cm$

 Total surface area of right pyramid = $256 + \frac{1}{2} \times 64 \times 17$

                                                             $=256 + 32 \times 17\\=256 + 544\\= 800cm^2$            

Thus,   Total surface area of right pyramid $= 800cm^2$