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svetlana [45]
1 year ago
8

PLEASE HELP 100 POINTS!

Mathematics
1 answer:
krok68 [10]1 year ago
8 0

Answer:

800%

Step-by-step explanation:

<u>Volume of a square based pyramid</u>

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

where:

  • a = base side length
  • h = height

<u>Given values</u> for Pyramid A:

  • a = 14 inches
  • h = 6 inches

Substitute the given values into the formula to find the volume of <u>Pyramid A</u>:

\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 <u>volume of Pyramid B</u> by the <u>volume of Pyramid A</u>:

\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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