kaileysimmonsk kaileysimmonsk
  • 23-04-2018
  • Mathematics
contestada

what is the volume of a square pyramid with base edges of 60 inches and a height of 10 inches?

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 01-01-2019

Answer:

The volume is [tex]12000 in^3[/tex]

Step-by-step explanation:

From the question ,

[tex]L= 60\:in. [/tex] and [tex]H=10\:in.[/tex]

The volume of a pyramid is given as

[tex]V=\frac{1}{3} \times area\:of\:the\:base \times height[/tex]

From the question, the base of the pyramid is a square.

Hence base area is given by [tex]L^{2}[/tex]

This implies that the volume of the pyramid is

[tex]=\frac{1}{3} \times L^{2}\times H[/tex]

[tex]=\frac{1}{3}\times 60^{2} \times 10[/tex]

[tex]=\frac{36000}{3}[/tex]

[tex]=12000 in^3[/tex]

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