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1 year ago

PLEASE HELP 100 POINTS!

Mathematics

1 answer:

krok68 [10]1 year ago

8 0

Answer:

800%

Step-by-step explanation:

Volume of a square based pyramid

$\sf V=\dfrac{1}{3}a^2h$

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:

$\begin{aligned}\textsf{Volume of Pyramid A} & = \sf \dfrac{1}{3}(14)^2(6)\\\\& = \sf \dfrac{1176}{3}\\\\& = \sf 392\:\: in^3 \end{aligned}$

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:

$\implies \sf \dfrac{3136}{392}=8$

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

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