A rectangular table is
72in
long and
36in
wide. Teresa would like to use sealant to cover the table top. The coverage of each bottle of sealant is measured in square feet.
(a) Find the area of the table top in square feet.
Use the table of conversion facts, as needed.
ft2
(b) Teresa wants to cover the table top with sealant. She doesn't have any to begin with and she can't buy partial bottles of sealant. Each bottle of sealant covers
7ft2
. How many whole bottles of sealant will she need to buy in order to completely cover the table top?
bottles
(c) If each bottle of sealant costs
$12.50
, how much will Teresa need to spend on sealant?
$
(a) To find the area of the table top in square feet, we need to first convert the dimensions from inches to feet:
Length = 72 in = 6 ft
Width = 36 in = 3 ft
Then we can use the formula for the area of a rectangle:
Area = length x width
Area = 6 ft x 3 ft
Area = 18 ft^2
Therefore, the area of the table top in square feet is 18 ft^2.
(b) If each bottle of sealant covers 7 ft^2, we can divide the total area of the table top by the coverage of each bottle to find out how many bottles Teresa needs:
Number of bottles = Area ÷ Coverage
Number of bottles = 18 ft^2 ÷ 7 ft^2
Number of bottles = 2.57
Since we cannot buy partial bottles of sealant, Teresa will need to buy 3 whole bottles of sealant to completely cover the table top.
(c) If each bottle of sealant costs $12.50, we can multiply the number of bottles by the cost per bottle to find out how much Teresa will need to spend:
Total cost = Number of bottles x Cost per bottle
Total cost = 3 x $12.50
Total cost = $37.50
Therefore, Teresa will need to spend $37.50 on sealant.
What is 2.57 as a whole number?
2.57 rounded to the nearest whole number is 3.
Kevin's garden is in the shape of a rectangle. It measures
12yd
long and
9yd
wide. He wants to cover the garden with mulch for the winter. The coverage of each bag of mulch is measured in square feet.
(a) Find the area of the garden in square feet.
Use the table of conversion facts, as needed.
ft2
(b) Kevin wants to cover his garden with mulch. He doesn't have any to begin with and he can't buy partial bags of mulch. Each bag of mulch covers
90.5ft2
. How many whole bags of mulch will he need to buy in order to completely cover his garden?
bags
(c) If each bag of mulch costs
$15
, how much will Kevin need to spend on mulch?
$
(a) To find the area of the garden in square feet, we need to first convert the dimensions from yards to feet:
Length = 12 yd = 36 ft
Width = 9 yd = 27 ft
Then we can use the formula for the area of a rectangle:
Area = length x width
Area = 36 ft x 27 ft
Area = 972 ft^2
Therefore, the area of the garden in square feet is 972 ft^2.
(b) If each bag of mulch covers 90.5 ft^2, we can divide the total area of the garden by the coverage of each bag to find out how many bags Kevin needs:
Number of bags = Area ÷ Coverage
Number of bags = 972 ft^2 ÷ 90.5 ft^2
Number of bags = 10.74
Since we cannot buy partial bags of mulch, Kevin will need to buy 11 whole bags of mulch to completely cover his garden.
(c) If each bag of mulch costs $15, we can multiply the number of bags by the cost per bag to find out how much Kevin will need to spend:
Total cost = Number of bags x Cost per bag
Total cost = 11 x $15
Total cost = $165
Therefore, Kevin will need to spend $165 on mulch.
10.74 as a whole number
10.74 rounded to a whole number is 11.
A rally poster is a square
36in
long and
36in
wide. We want to cover the poster with glitter. The coverage of each tube of glitter is measured in square feet.
(a) Find the area of the poster in square feet.
Use the table of conversion facts, as needed.
ft2
(b) We want to cover the poster with glitter. We don't have any to begin with and we can't buy partial tubes of glitter. Each tube of glitter covers
2ft2
. How many whole tubes of glitter will we need to buy in order to completely cover the poster?
tubes
(c) If each tube of glitter costs
$1.70
, how much will we need to spend on glitter?
$
(a) To find the area of the poster in square feet, we need to first convert the dimensions from inches to feet:
Length = 36 in = 3 ft
Width = 36 in = 3 ft
Then we can use the formula for the area of a square:
Area = side x side
Area = 3 ft x 3 ft
Area = 9 ft^2
Therefore, the area of the poster in square feet is 9 ft^2.
(b) If each tube of glitter covers 2 ft^2, we can divide the total area of the poster by the coverage of each tube to find out how many tubes we need:
Number of tubes = Area ÷ Coverage
Number of tubes = 9 ft^2 ÷ 2 ft^2
Number of tubes = 4.5
Since we cannot buy partial tubes of glitter, we will need to buy 5 whole tubes of glitter to completely cover the poster.
(c) If each tube of glitter costs $1.70, we can multiply the number of tubes by the cost per tube to find out how much we will need to spend:
Total cost = Number of tubes x Cost per tube
Total cost = 5 x $1.70
Total cost = $8.50
Therefore, we will need to spend $8.50 on glitter.
4.5 as a whole number
4.5 rounded to a whole number is 5.
Ivanna has a new aquarium. The tank is in the shape of a rectangular prism,
36in
long,
24in
wide, and
24in
deep. She plans to raise fish and sell them to a local pet store. The pet store will inspect the aquarium to make sure that the fish are being kept in a healthful environment. One of the main concerns is that each fish has enough water. Ivanna looks up the amount of water needed for the species of fish she plans to raise. She finds the answer, but it is given in cubic feet.
(a) Find the volume of water that the tank holds in cubic feet. Use the table of conversion facts, as needed.
ft3
(b) The particular species Ivanna plans to raise requires at least
0.29ft3
of water per fish. If there is any amount less than this, no matter how much less, the pet store will not accept Ivanna's fish. What is the largest whole number of fish that she can keep in the aquarium?
fish
(c) The pet store will pay
$1.89
for each fish. If she fully populates her aquarium and sells all the fish, how much money will she collect?
$
(a) To find the volume of water that the tank holds in cubic feet, we need to convert all the dimensions from inches to feet:
Length = 36 in = 3 ft
Width = 24 in = 2 ft
Depth = 24 in = 2 ft
Then we can use the formula for the volume of a rectangular prism:
Volume = length x width x depth
Volume = 3 ft x 2 ft x 2 ft
Volume = 12 ft^3
Therefore, the tank holds 12 ft^3 of water.
(b) If each fish requires 0.29 ft^3 of water, we can divide the total volume of water in the tank by the amount of water needed per fish to find the maximum number of fish Ivanna can keep:
Number of fish = Volume of water ÷ Amount of water per fish
Number of fish = 12 ft^3 ÷ 0.29 ft^3
Number of fish = 41.38
Since we can't have a fractional number of fish, the largest whole number of fish Ivanna can keep in the aquarium is 41.
(c) If the pet store pays $1.89 per fish and Ivanna sells all 41 fish, she will collect:
Total money collected = Number of fish x Price per fish
Total money collected = 41 x $1.89
Total money collected = $77.49
Therefore, Ivanna will collect $77.49 if she fully populates her aquarium and sells all the fish.
41.38 as a whole number
41.38 rounded to the nearest whole number is 41.
The construction crew for a new store will dig a hole in the shape of a rectangular prism for the store's foundation. The hole will be
17yd
long,
14yd
wide, and
4yd
deep. To haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. The crew knows the amount of dirt the truck can hold each trip in cubic feet.
(a) Find the volume of dirt that will be hauled away in cubic feet. Use the table of conversion facts, as needed.
ft3
(b) Each trip, the truck can haul away
310ft3
of dirt. To save gas, the crew wants to take as few trips as necessary to haul all of the dirt away. Since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. How many trips are needed to haul away all of the dirt? Count each trip it makes the same, even if the truck isn't full.
trips
(c) If it costs
$1225
for each trip that the truck makes, how much will it cost to haul away all the dirt?
$
(a) To find the volume of dirt that will be hauled away in cubic feet, we need to multiply the length, width, and depth together and convert the result from yards to feet:
Volume = length x width x depth
Volume = 17 yd x 14 yd x 4 yd
Volume = 952 yd^3
Volume = 952 yd^3 x (3 ft/yd)^3
Volume = 952 x 27 ft^3
Volume = 25,704 ft^3
Therefore, the volume of dirt that will be hauled away in cubic feet is 25,704 ft^3.
(b) If each trip can haul away 310 ft^3 of dirt, we can divide the total volume of dirt by the capacity of each trip to find the number of trips needed:
Number of trips = Volume of dirt ÷ Capacity of each trip
Number of trips = 25,704 ft^3 ÷ 310 ft^3
Number of trips = 82.93
Since we cannot take a fraction of a trip, the crew will need to take 83 trips to haul away all of the dirt.
(c) If each trip costs $1225, we can multiply the number of trips by the cost per trip to find out how much it will cost to haul away all of the dirt:
Total cost = Number of trips x Cost per trip
Total cost = 83 x $1225
Total cost = $101,875
Therefore, it will cost $101,875 to haul away all of the dirt.