Answered

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on a trip to Oregon Sabrina and brought a small Stone in shape of a square pyramid as a souvenir determine the volume of the stone round to the nearest tenth .

On A Trip To Oregon Sabrina And Brought A Small Stone In Shape Of A Square Pyramid As A Souvenir Determine The Volume Of The Stone Round To The Nearest Tenth class=

Sagot :

we know that

The volume of the square pyramid is equal to

[tex]v=\frac{1}{3}\cdot B\cdot h[/tex]

where

B is the area of the square base

h is the height of the pyramid

step 1

Find the area of the base B

B=(1.5^2)=2.25 in2

step 2

Find the volume

[tex]\begin{gathered} v=\frac{1}{3}\cdot B\cdot h \\ we\text{ have} \\ B=2.25in^2 \\ h=1.5\text{ in} \\ \text{substitute} \\ V=\frac{1}{3}\cdot(2.25)\cdot(1.5) \\ V=1.125\text{ in\textasciicircum{}3} \end{gathered}[/tex]

therefore

the volume is 1.1 cubic inches

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