body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 7

BI

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

5. Volumes of Pyramids

Continue to next subchapter

Exercise 3 Page 435

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

186 23in.^3

Practice makes perfect

Let's consider the given pyramid.

Rectangular 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= 7 and B= 10* 8. Let's substitute these values into the formula and calculate the volume of the pyramid.

V = 1/3Bh

B= 10* 8, h= 7

V = 1/3 (10* 8) (7)

Multiply

V = 1/3 (80) (7)

Multiply

V = 1/3 (560)

MoveRightFacToNumOne

1/b* a = a/b

V=560/3

▼

Write fraction as a mixed number

Write as a sum

V=558+2/3

Write as a sum of fractions

V=558/3+2/3

Calculate quotient

V=186+2/3

Add terms

V=186 23

The volume of the pyramid is 186 23 cubic inches.

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