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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Solving Simple Equations

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Exercise 56 Page 10

How does the height help you to find the volume of a pyramid?

3.5ft

Practice makes perfect

To find the volume of a pyramid we use a formula that relates the pyramid's height h and its base area B. V=1/3Bh From the figure, we are given the volume V= 35ft^3 and the base area B= 30ft^2 of a pyramid. By substituting these values into our equation, we will be able to use inverse operations to determine the value of h.

V=1/3Bh

V= 35, B= 30

35=1/3* 30* h

MoveRightFacToNumOne

1/b* a = a/b

35=30/3* h

Calculate quotient

35=10h

.LHS /10.=.RHS /10.

35/10=10h/10

Calculate quotient

3.5=h

Rearrange equation

h=3.5

The height of the given pyramid is 3.5ft.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10