Ali wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle. Its length is
17
feet and its width is
13
feet. Suppose wallpaper costs
$5
for each square foot. How much will wallpaper cost for the wall?
The area of the wall is
17 feet x 13 feet = 221 square feet
So, the cost of wallpapering the wall is
221 square feet x $5/square foot = $1105
Mary wants to plant grass in her backyard. Her backyard is in the shape of a rectangle. Its length is
32
feet and its width is
21
feet. Suppose each pack of seed covers
12
square feet. How many packs of seed will she need to cover the backyard?
The area of the backyard is
32 feet x 21 feet = 672 square feet
To cover this area with seed, Mary will need
672 square feet / 12 square feet per pack = 56 packs of seed.
Yoko wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are
39
feet. Suppose each can of paint will cover
169
square feet. How many cans will she need to paint the ceiling?
The area of the ceiling is
39 feet x 39 feet = 1521 square feet
To cover this area with paint, Yoko will need
1521 square feet / 169 square feet per can = 9 cans of paint (rounded up to the nearest whole number).
Therefore, she will need 9 cans of paint.
A coffee pot holds
3/14
quarts of coffee. How much is this in cups?
Write your answer as a whole number or a mixed number in simplest form.
We know that 1 quart is equal to 4 cups.
So, to convert 3/14 quarts to cups, we can set up a proportion:
3/14 quarts = x cups
1 quart = 4 cups
(3/14) / 1 = x / 4
Cross-multiplying:
3/14 * 4 = x
12/14 = x
Simplifying the fraction:
6/7 = x
Therefore, 3/14 quarts is equal to 6/7 cups in simplest form.
Heather cut 4 1/12 yards of fishing line from a new reel. How much is this in inches?
Write your answer as a whole number or a mixed number in simplest form.
We know that there are 3 feet in 1 yard, and 12 inches in 1 foot.
So, to convert from yards to inches, we can multiply by 3 (to get into feet) and then multiply by 12 (to get into inches):
4 1/12 yards = (4 x 3) + (1/12 x 3) yards = 12 + (1/4) yards
Now, we can convert to inches:
(12 + 1/4) yards = (12 x 36) + (1/4 x 36) inches = 432 + 9 inches
Simplifying:
432 + 9 = 441 inches
Therefore, 4 1/12 yards is equal to 441 inches in simplest form.
A fish tank has a volume of
6.9
ft3
.
Use the table of conversion facts to find out how many gallons of water it would take to completely fill the fish tank.
Round your answer to two decimal places.