1. A rectangular prism measures 10 inches, 6 inches, by 6 inches. What is the surface are of the prism? 2. A prism is filled with 25 cubes with 1/2unit side lengths. What is the volume of the prism in cubic units? 3. A baker made a birthday cake in the shape of a rectangular pyramid. She decorated the lateral faces of the cake with blue and purple icing. How many faces of the pyramid did she decorate? 4. Ms. Jessup is planning to lay new sod on her front yard. Her rectangular front yard is 85 feet long by 32 feet wide. What is the area of Ms. Jessup's front yard? 5. A rectangular box is 20 inches long, 18 and 1/2 inches wide, and 24 and 1/2 inches high. What is the volume of the box? 7. A box measures 4 units by 2 and 1/2 units, by 1 and 1/2 units. What is the greatest number of cubes with a side length of 1/2 unit that can be packed inside the box? 8. Mr. Jackson rented a storage unit in the shape of a rectangular prism. The volume of the unit is 230 cubic yards. The storage unit is 5 and 3/4 yards wide and 10 yards long. What is the height of the storage unit? * 9. Carmine wants to know how many square feet of carpeting he will need to buy to cover his family room floor. Which geometric measure does Carmine need to find? * And last but not least:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

loloo

step-by-step explanation:

lololool

3100

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt