Big Ideas Math: Modeling Real Life, Grade 6
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7. Volumes of Rectangular Prisms
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Exercise 16 Page 330

Remember the formula for the volume of a prism.

w = 4.5cm

Practice makes perfect

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

Now we can see that the prism has the length l of 7 centimeters and the height h of 7 centimeters. The volume V of the prism is 220.5 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 wh We can substitute the known values into this formula and solve for the width w. Let's do it!
V=l wh
Solve for w
220.5= 7 ( w) ( 7)
220.5=49w
220.5/49=49w/49
4.5=w
w=4.5
The missing dimension of the clock, which is the width of the prism, is 4.5 centimeters.