Volume of a Rectangular Prism
What is the formula used to find the volume of a rectangular prism?
V = length x width x height
A flat picture that can be folded up to form a three-dimensional solid is called what?
A net
Recipe:
3 cups chocolate chips
2 cups peanuts
2 cups raisins
2 cups cashews
1 cup coconut
2/10 (1/5) = 20%
What is 20% of $150?
$30
Find the height of a rectangular box at right if the area of the base is 8.45 square inches and the volume is 97.175 cubic inches.
11.5 inches
Calculate the volume of a rectangular prism:
Width: 10
Length: 3
Height: 7
V = 210
What is the formula used to find the surface area of a rectangular prism?
SA = 2(lw + lh + wh)
Calculate the portion of the mix below that is coconut:
Recipe:
3 cups chocolate chips
2 cups peanuts
2 cups raisins
2 cups cashews
1 cup coconut
1/10 = 10%
A shirt originally priced at $30 has been discounted 20%. What is the new sale price?
$24
Two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Solve and state it as a unit rate.
5/8 = 0.625 bicycles per hour
Calculate the volume of a rectangular prism:
Width: .12
Length: 1.25
Height: .35
V = 0.05
Calculate the surface area of a rectangular prism:
Width: 7
Length: 3
Height: 6
SA = 162
Calculate the portion of the mix below that is peanuts:
Recipe:
5 cups chocolate chips
7 cups peanuts
4 cups raisins
2 cups cashews
1 cup coconut
1 cup almonds
7/20 = 35%
A soda originally priced at $1,500 has been discounted 30%. What is the new sale price?
$1,050
In a bicycle race, bicyclists rode 82 miles on the first day. The 82 miles represented 20% of the entire race. How long was the entire bicycle race?
82 = 0.2r
r = 410 miles
Calculate the volume of a rectangular prism:
Width: 1/2
Length: 3/4
Height: 5/6
V = 5/16 or V = 3.13
Calculate the surface area of a rectangular prism:
Width: .5
Length: .75
Height: 1.5
SA = 4.5
Calculate the portion of the mix below that is cashews:
Recipe:
5 cups chocolate chips
7 cups peanuts
4 cups raisins
2 cups cashews
1 cup coconut
1 cup almonds
2/20 (1/10) = 10%
Dinner cost $52.37 and your family wants to leave a 25% tip. What is the final bill?
$65.46
$35 is what percent of $175?
20%
A new 3-story building has a volume of 24 cubic units. What would the volume be if it were 5 stories high?
40 cubic units
Calculate the surface area of a rectangular prism:
Width: 1/4
Length: 1/2
Height: 4/5
SA = 29/20 or 1 9/20
Calculate the portion of the mix below that is chocolate chips:
Recipe:
5 cups chocolate chips
7 cups peanuts
4 cups raisins
2 cups cashews
1 cup coconut
1 cup almonds
5/20 (1/4) = 25%
Joseph gave the bank $2,000, and the bank said they will pay him 5% in simple interest. How much will Joseph have after 1 year?
$2,100
Find the volume AND surface area of a box with dimensions of 5 1/2, 4 1/2, and 1 1/4.
V = 30 15/16
SA = 74 1/2