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3 years ago

Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.

2 answers:

4 0

The volume of a square pyramid is the length of the base squared times the height over three: (L^2*H/3)
So, when you plug in the numbers you get the length of the base square as 4 cm.

anzhelika [568]3 years ago

4 0

Answer:

Length of the base of a square pyramid is 4 inches

Step-by-step explanation:

the volume is 48 cubic inches and has a height of 9 inches.

Volume of the square pyramid formula is $\frac{a^2h}{3}$

Where 'a' is the length of the base of a square and h is the height of the pyramid

volume = 48 and height =9, plug in the values in the formula

Volume of the square pyramid= $\frac{a^2h}{3}$

$48=\frac{a^2 \cdot 9}{3}$

$48=3a^2$

Divide both sides by 3

$16=a^2$

Now take square root on both sides

$a=4$

Length of the base of a square pyramid is 4 inches

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