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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

7. Volumes of Rectangular Prisms

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Exercise 3 Page 327

Remember the formula for the volume of a prism.

l = 6in.

Practice makes perfect

From the picture, we know the dimensions of the box, which is a rectangular prism. We want to find the length l of the base of the prism.

We can see that the prism has a height h of 2 inches and a base width w of 6 inches. The volume V of the prism is 72 cubic inches. The volume of a rectangular prism with length l, width w, and height h can be calculated using the following formula. V=l wh Let's substitute the known values into the formula and solve for the length l.

V=l wh

SubstituteValues

Substitute values

72= l ( 6) ( 2)

▼

Solve for l

Multiply

72=12l

.LHS /12.=.RHS /12.

72/12=12l/12

CancelCommonFac

Cancel out common factors

72/12=12 l/12

Simplify quotient

72/12=l

Calculate quotient

6=l

Rearrange equation

l=6

The missing dimension of the prism is 6 inches.

Subchapter links

Try It p.326-327

Self-Assessment for Concepts & Skills p.327

Self-Assessment for Problem Solving p.328

Review & Refresh p.329