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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

6. Cross Sections of Three-Dimensional Figures

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Exercise 1 Page 443

Use the formula for the volume of a pyramid.

About 37.33 cubic inches

Practice makes perfect

Consider the given pyramid.

The volume of a pyramid can be calculated using a known formula. V=1/3Bh In this formula, B is the area of the base, and h is the height. The base of the pyramid is a square with the side length of 4 inches. The area of the square equals the squared length of the side. B=s^2 ⇒ B&= 4^2 &=16ft^2 We are also given that the height of the pyramid is 7 inches. Let's substitute these values into the formula and calculate V.

V=1/3Bh

B= 16, h= 7

V=1/3( 16)( 7)

▼

Simplify right-hand side

Multiply

V=1/3(112)

MoveRightFacToNumOne

1/b* a = a/b

V=112/3

Calculate quotient

V=37.333333

Round to 2 decimal place(s)

V≈ 37.33

The volume of the pyramid is about 37.33 cubic inches.

Subchapter links

Try It p.440-441

Self-Assessment for Concept & Skills p.441

Self-Assessment for Problem Solving p.442

Review & Refresh p.443