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Big Ideas Math: Modeling Real Life, Grade 7

BI

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

5. Volumes of Pyramids

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Exercise 9 Page 437

The volume of a pyramid is one third the area of its base times the height of the pyramid.

13 13ft^3

Practice makes perfect

Let's consider the given pyramid.

Square pyramid

We want to find the volume of the pyramid. Recall that the volume V of a pyramid is one third the area of the base B times the height of the pyramid h. V=1/3 B h In this pyramid, h= 10 and B= 2^2. Let's substitute these values into the formula and calculate the volume of the pyramid.

V = 1/3Bh

B= 2^2, h= 10

V = 1/3 (2^2) (10)

Calculate power

V = 1/3(4)(10)

Multiply

V = 1/3(40)

MoveRightFacToNumOne

1/b* a = a/b

V=40/3

▼

Write fraction as a mixed number

Write as a sum

V=39+1/3

Write as a sum of fractions

V=39/3+1/3

Calculate quotient

V=13+1/3

Add terms

V=13 13

The volume of the pyramid is 13 13 cubic feet.

Subchapter links

Try It p.434-435

Self-Assessment for Concept & Skills p.435

Self-Assessment for Problem Solving p.436

Review & Refresh p.437

Concept, Skills, & Problem Solving p.437-438