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This is a pyramid problem so please help out

This is a pyramid problem so please help out-example-1

2 Answers

1 vote

Answer:

Explanation:

LA = 5x(1/2)x(12)xsqrt(8.26^2+20^2)

= 649.16

SA = LA + 5x(1/2)x12x8.26

= 896.96

V = 5x1/2x12x8.26x20/3

= 1652

User Sam Felix
by
3.4k points
5 votes

Answer:

Explanation:

LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:

height^2 = 8.26^2 + 20^2 = 468.23

height = 21.64cm

LA = 5*1/2*12*21.64

= 649.2cm^2

SA, Surface Area, is the sum of LA and base area.

Base area = 5*1/2*12*8.26 = 247.8cm^2

SA = 649.2 + 247.8 =897cm^2

Volume, V = 1/3 * base area * height

= 1/3 * 247.8 * 20

= 1652cm^3

User Tcetin
by
3.2k points