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ludmilkaskok [199]
3 years ago
6

find the length of the base of a square pyramid if the volume is 1,024 cubic inches and has a height of 12 inches. (6 points) 4

inches 8 inches 16 inches 24 inches
Mathematics
2 answers:
Sauron [17]3 years ago
6 0

Answer:

16 inches

Step-by-step explanation:

Leokris [45]3 years ago
5 0
To solve, we use the volume of a square pyramid formula which is expressed as the product of the area of the base (a²) and the height divided by three(h/3).

Volume = a² (h/3)
1024 in³ = (a²) (12 in/3)
a² = 1024 in³ · 3 /12
a = √256 in²
a = 16 in

Thus, the length of the base is 16 in.

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The depth of a lake in Lexington changes over time due to rainfall and evaporation. A few months ago, the depth was 1,300 feet.
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Answer:

The Depth of the lake had increased by 19%.

Step-by-step explanation:

Given:

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We need to find the percent of increase in depth of lake.

Solution:

First we will find the increase in depth of lake.

Increase in depth of lake can be calculated by subtracting Depth of lake few months ago from depth of lake currently.

framing in equation form we get;

increase in depth of lake = 1547-1300= 247\ ft

Now to find the percent of increase in depth of lake we will divide  increase in depth of lake from Depth of lake few months ago and then multiply by 100.

framing in equation form we get;

percent of increase in depth of lake = \frac{247}{1300}\times 100 =  19\%

Hence the Depth of the lake had increased by 19%.

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