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If the volume of the pyramid shown is 108 inches cubed, what is the area of its base? A pyramid with a height of 8 inches. 4 inches squared 12 inches squared 24 inches squared 36 inches squared

2 Answers

2 votes

Answer:

D. 36

Step-by-step explanation: stay calm and smile

User Skyr
by
8.4k points
4 votes

Answer:

36in²

Explanation:

This problem bothers on the mensuration of solid shapes, a square based pyramid.

Step one

The formula for the volume of a square based pyramid is

V=a²h/3

Where a = side of base

h= height

Given data

Volume = 108in³

Height h= 8 in

We can solve for the base a by substituting our data

108= a²* 8/3

a²= (108*3)/8

a²= 40.5

a= √40.5

a= 6.36in

To the nearest whole number

a= 6in

The area of the square based = 6*6

= 36in²

User Huang Chen
by
8.0k points

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