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Problem 37

Suppose the lateral area of a right rectangular prism is 144 square centimeters. If the length is three times the width and the height is twice the width, find the surface area.

Problem 38

The cross section of a solid is an octagon. Name the solids that have octagonal cross sections.

Problem 39

Lucita needs to figure out how much it will cost to repaint the walls in her bedroom. She knows the cost of paint per gallon \(g,\) how many square feet a gallon will cover \(f,\) and the length \(\ell\) width \(w,\) and height \(h\) of her room. Which formula should Lucita use to calculate the total cost \(c\) of painting her room? A \(g=\frac{w \ell h+c}{f}\) \(\mathbf{B} \quad c=\frac{(w h+\ell h)}{f} \cdot g\) \(\mathbf{C} c=\frac{2(w h+\ell h)}{f} \cdot g\) \(\mathbf{D} c=\frac{2(w h+\ell h+\ell w)}{g} \cdot f\)

Problem 42

ART Kiernan drew a sketch of a house. If the height of the house in her drawing was 5.5 inches and the actual height of the house was 33 feet, find the scale factor of the drawing.

Problem 44

A rectangular garden is 100 feet long and 200 feet wide and includes a square flower bed that is 20 feet on each side. Find the probability that a butterfly in the garden is somewhere in the flower bed.

Problem 44

Find the circumference of each circle given the radius or the diameter. Round to the nearest tenth. (lesson \(10^{-1}\) ) $$r=6$$

Problem 45

REVIEW Between 2000 and 2004 North Carolina experienced a \(6.1 \%\) population increase. If \(x\) represents the population before 2000 , which expression represents the population of North Carolina at the end of 2004 \(\mathbf{F} \quad x+2000(0.061)\) G \(x+x(0.061)\) \(\mathbf{H} x+2005(0.061)\) J \(x+6.1 x\)

Problem 46

Find the circumference of each circle given the radius or the diameter. Round to the nearest tenth. (lesson \(10^{-1}\) ) $$d=18$$

Problem 47

Find the circumference of each circle given the radius or the diameter. Round to the nearest tenth. (lesson \(10^{-1}\) ) $$r=8.2$$

Problem 49

Find the surface area of each cone. Round to the nearest tenth. $$d=11.2 \mathrm{ft}, h=7.4 \mathrm{ft}$$

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