Answer:
800%
Step-by-step explanation:
Volume of a square based pyramid
[tex]\sf V=\dfrac{1}{3}a^2h[/tex]
where:
- a = base side length
- h = height
Given values for Pyramid A:
- a = 14 inches
- h = 6 inches
Substitute the given values into the formula to find the volume of Pyramid A:
[tex]\begin{aligned}\textsf{Volume of Pyramid A} & = \sf \dfrac{1}{3}(14)^2(6)\\\\& = \sf \dfrac{1176}{3}\\\\& = \sf 392\:\: in^3 \end{aligned}[/tex]
Given:
- Volume of Pyramid B = 3136 in³
To find how many times bigger Pyramid B is than Pyramid A, divide the volume of Pyramid B by the volume of Pyramid A:
[tex]\implies \sf \dfrac{3136}{392}=8[/tex]
Therefore, the volume of Pyramid B is 8 times bigger than the volume of Pyramid A.
8 as a percentage is 800%, since 800/100 = 8.
Therefore, the volume of Pyramid B is 800% the volume of Pyramid A.
To verify this, find 800% of the volume of Pyramid A:
⇒ 800% of 392
= 800/100 × 392
= 8 × 392
= 3136
