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

Question

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] · Answer 1 · 2022-08-03T18:06:05+03:00

Sauron [17]3 years ago

6 0

Answer:

16 inches

Step-by-step explanation:

Leokris [45] · Answer 2 · 2022-08-03T15:54:42+03:00

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.