* 24. Analyze Geraldo is going to paint the interior walls of the lobby of the (local history museum. The room is 40 ft by 60 ft . Its height is 16 ft In order to purchase the right amount of paint, Geraldo must calculate the lateral surface area of the room. What is the lateral surface area? * 25 . There are approximately \( 2.25 \times 10^{12} \) grains of sand on a stretch of (46) beach, If a bucket holds \( 1.25 \times 10^{9} \) grains of sand, how many buckets would it take to remove all of the sand from the beach? * 26. Last month, Andrea missed two days of school because she had a (48) cold. What percent of school days did Andrea miss? Hint: Assume that there are 20 school days in a month.
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To find the lateral surface area of the lobby, we can use the formula for the lateral surface area of a rectangular prism, which is \( L = 2h(w + l) \). Here, the height \( h \) is 16 ft, the width \( w \) is 40 ft, and the length \( l \) is 60 ft. Plugging in these values, we get \( L = 2 \times 16 \times (40 + 60) = 2 \times 16 \times 100 = 3200 \) square feet. Geraldo will need to purchase paint for an area of 3200 sq ft! Now, for the buckets of sand, you simply take the total number of grains of sand \( 2.25 \times 10^{12} \) and divide it by the capacity of one bucket \( 1.25 \times 10^{9} \). This gives us approximately \( \frac{2.25 \times 10^{12}}{1.25 \times 10^{9}} = 1800 \) buckets. That’s a whole lot of sand to haul away!