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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

2. Section 12.2

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Exercise 133 Page 696

The volume of a pyramid equals 13Bh, where B is the area of the pyramid's base and h is the pyramid's height.

B

Practice makes perfect

We want to find the volume of a square-based pyramid with 9 unit long base edge and a 48 unit long height.

Given diagram of a pyramid

The volume of a pyramid can also be calculated using the following formula formula. V=1/3 B h Here, B is the area of the base, and h is the height. Since the pyramid's base is a square, the base's area equals the squared length of the side. B=s^2 ⇒ B&= 9^2 &= 81square units The base's area is 81 square units. We are also given that the height h is 48 feet. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 81, h= 48

V=1/3( 81)( 48)

▼

Simplify right-hand side

Multiply

V=1/3(3888)

MoveRightFacToNumOne

1/b* a = a/b

V=3888/3

Calculate quotient

V=1296

The volume of the pyramid is 1296 cubic units. Therefore, answer B is correct.

Subchapter links

12.2.1 Using Geometry to Calculate Probabilities p.670-673

12.2.2 Choosing a Model p.676-679

12.2.3 The Golden Ratio p.685-688

12.2.4 Some Challenging Probability Problems p.696-699