Question

Consider this square-based pyramid. 15.8 cm 10 cm 10 cm a Calculate its surface area, The pyramid has a height of 15 cm. Calculate its volume word ersity Press 2015

Answer 1

Surface area of a square pyramid= area of the base + area of the 4 triangle.

Volume of a pyramid=(area of the base×height of pyramid)/3

Volume of a cone=(π×r^2×h)/3.
외 Given. side of the square, ss 100m sland height, l = 1508 m. height, Now, these pyramid has one Square ad 4 triangles S0, Surface area of the square pyramid = area of the base + area of 4 trongles h = 15cm o Now, the area of the square base = 32 10²= 100 cm2. The area of one triangle = {xsxl £x10x15 8 Cm 25x15.8 cm 27 9 Cm 2 Since there are 4 triangles, so the area of 4 triangles = 4879 = 316 Ant therefore the area of surface 2 (100 + 316) Cm 2 4 16cm² b) Volume of the pyramid = $ x area of the base x height of pyramid 2. Y X 100 X 15 500 cm3

&= 4cm 3 Giren diameter, a=80m a radius , ra height, h=10cm Diagram of the Cone: - h=8 Cm 8 24cm b) volume, V=47822 > 4x2x478 cm3 1280 3 Cm3 = 134.04 cm3