Question

Pyramid A is a square pyramid with a base side length of 9 inches and a height of 4 inches. Pyramid B has a volume of 8,100 in. How many times bigger
volume of pyramid B than pyramid A?
15
32
54
75

Answer 1

Answer:

Option d. 75 times.

Step-by-step explanation:

Side length of a square pyramid of Pyramid A = 9 inches

height of pyramid A = 4 inches

$\text{Volume of the squared pyramid}=a^2(\frac{1}{3})h$

where,

a = sides, h = height

$=9^2(\frac{1}{3})\times 4$

$=81(\frac{1}{3})\times 4$

= 27 × 4

= 108 inches³

and the volume of pyramid B = 8100

Now we will divide volume of pyramid B by the volume of pyramid A

$=\frac{8100}{108}$

= 75

Therefore, the volume of pyramid B is 75 times bigger than pyramid A.

Option d is the answer.