Big Ideas Math: Modeling Real Life, Grade 6
BI
Big Ideas Math: Modeling Real Life, Grade 6 View details
7. Volumes of Rectangular Prisms
Continue to next subchapter

Exercise 4 Page 327

Remember the formula for the volume of a prism.

w = 12 12cm

Practice makes perfect

From the picture, we know the dimensions of the tissue box, which is a prism. The exercise is to find the width w of the base of the prism. Let's see the diagram!

Now we can see that the prism has the height h of 5 12 centimeters and the base length l of 20 centimeters. The volume V of the prism is 1375 cubic centimeters. The volume of a rectangular prism with length l, width w, and height h can be calculated using the following formula. V= l w h We can substitute the known values into this formula. 1375= 20 ( w) ( 5 12) Now, we will write all the terms in the right side of the equation as fractions.
1375=20 (w) (5 12)
1375=20(w)(5* 2+1/2 )
1375=20(w)(10+1/2 )
1375=20(w)(11/2 )
1375=20/1(w/1)(11/2 )
Finally, we will multiply the fractions and solve the equation for w.
1375=20/1(w/1)(11/2 )
1375=20* w * 11/1* 1 * 2
â–Ľ
Solve for w
1375=220w/2
1375=110w
1375/110=110w/110
1375/110=w
12.5=w
w=12.5
w=12 12
The missing dimension of the tissue box, which is the width of the base, is 12 12 centimeters.