Area of a square with a side length of 4 meters
A=s^2
A=(4m)^2
A=16m^2
Volume of this box!
V=lwh
V=12ft*8ft*20ft
V=1920ft^3
V=4/3pir^3
V=4/3(3.14)1.5^3=14.13
C. 14cm^3
How many miles are there in 10 kilometers to the nearest tenth?
10 km = 6.2 miles
Area of a triangle with a base of 3cm and a height of 9cm
A=1/2bh
A=(1/2)3cm*9cm=13.5cm
Volume of a sphere with a diameter of 29in
r=1/2d
r=29in/2=14.5
V=4/3pi(r^3)
v=(4/3)pi(14.5)^3
V=12770.05
V=pir^2h
pi*(4.8^2)*8.1=586.3
B. 586.3
How many US states border New York State?
Number: Full points
Name the States: double points
Name the States AND Canadian provinces: triple points!
5 US States
+ Ontario and Quebec in Canada
Area of a parallelogram with a base of 18.9 meters and a height of 6.2 meters
A=bh
A=(18.9m)(6.2m)
A=117.18m^2
Volume of this cylinder!
V=pir^2h
V=pi(7.9cm)^2*4.8cm
V=941.12cm^3
V=1/3pi(r^2)h
V=1/3*pi*6^2*11=414.69
B. 415
On what days are the math state exam this year?
May 7 and 8
Both circumference and area of a circle with a diameter of 17ft
Diameter = 17ft; Radius = 8.5ft
C=pid
C=17ft*pi
C=53.4ft
A=pir^2
A=pi(8.5ft)^2
A=226.98ft^2
Volume of this cone!
V=1/3pir^2h
V=1/3pi((0.6m)^2)1m
V=0.377m^3
radius=(diameter)/2=8/2=4
(1/3)(22/7)(4^2)(9)=150.86
C. 150.86
The only area and volume formulas not on our reference sheets are...
Square:
A=bh
Rectangle:
V=lwh
Area of this trapezoid
A=1/2h(b_1+b_2)
A=1/2(4in)(11in+13in)
A=48in^2
Volume of this half-sphere
We need half the volume of the typical sphere formula
V=(1/2)*(4/3pir^3)
V=(1/2)*(4/3pi(12.5cm)^3)
V=4090.6cm^3
Multiply the height by the number of discs.
0.7cm * 20 = 14 cm
Now use this new height to find the volume of our cylinder.
r=1/2diameter
r=(1/2)6cm=3cm
V=pir^2h
V=(3.14)(3^2)(14)=395.64
C. 395.64 cubic centimeters
Who invented Algebra? (Spelling doesn't count!)
Al-Khwarizmi