Question

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster?
A.136
B.144
C.154
D.166
E.172

Answer 1

Volume of Pyramid = area of base * height * 1/3
Volume of Pyramid = 3 * 4 * 1/3 = 4 ins^3 Theoretically the artist can make 576/4= 144 pyramids out of the block of alabaster.
Hope this helps.
:-)

So ur answer is B hope this helps and branliest 

Answer 2

Answer:

B.144

Step-by-step explanation:

Given :An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each pyramid with a square base area of 3 square inches and a height of 4 inches.

To Find: At most, how many pyramids can the artist make from the block of alabaster?

Solution:

Formula of  volume of square pyramid:

$\frac{a^{2}h}{3}$

Where a is the base length of the square base of the square pyramid.

h is the height of the square pyramid.

Since we are given  a square base area of 3 square inches and a height of 4 inches.

⇒$a^{2}=3$

⇒$h=4$

Volume of pyramid that artist make :

$\frac{3*4}{3}$

$\frac{12}{3}$

$4$

Thus volume of 1 square pyramid is 4 cubic inches.

Volume of alabaster pyramid is 576 cubic inches

To calculate At most, how many pyramids can the artist make from the block of alabaster

Volume of alabaster pyramid/ volume of 1 square pyramid

⇒$\frac{576}{4}$

⇒$144$

Thus the artist can make 144 pyramids from the block of alabaster.

Hence option B is correct.