Question

URGENT. Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 20,736 in3. How many times bigger is the volume of pyramid B than pyramid A?

A. 32
B. 54
C. 15
D. 75

Answer 1

Answer:

• B. 54 times

Step-by-step explanation:

Pyramid volume formula:

• V = 1/3*a²h

Find the volume of A:

• V(A) = 1/3*12²*8 = 384 in³

Find the ratio of volumes:

• V(B)/V(A) = 20736/384 = 54

Answer 2

Answer:

b) 54

Step-by-step explanation:

Given that,

→ b = 12 inches

→ h = 8 inches

Formula we use,

→ V = (1/3) × b² × h

Now the volume of pyramid A is,

→ (1/3) × b²× h

→ (1/3) × (12)² × 8

→ (1/3) × 144 × 8

→ 48 × 8 = 384 in³

Then the times bigger than A is,

→ x = B/A

→ x = 20736/384

→ [ x = 54 times ]

Hence, the option (b) is correct.