Area
Surface Area
Volume
Conversion
True or False
100
How do you find the area of a rectangle? 
To find the area of a quadrilateral shape such as a rectangle, you simply find the length and width and multiply them together.
100
How do you find the surface area of a cubed figure with the side lengths being 8cm each?
To find the surface area of a cubed figure with sides of 8cm, you simply do 6 (8cm)²
(8cm² ) = 64
6 (64) = 384 cm²
100
How do you calculate the volume of a cone shaped figure?
V = 1/3π r2 h
100
Convert this length.
12 feet = ___________ yd
The conversion of 12 feet to yds = 4 yd.
100
The formula to find the volume of a figure is length x width x height
True
200
How do you find the area of a triangle?
To find the area of a triangle, you simply find the base and height of the shape, multiply them together and then divide that number by 2.
200
What is the SA of a cylinder if the dimensions are 2cm (radius) by 5cm ( height)?
π x 22 = 12.56637061 (4π )
π x 4 x 5 = 62.83185307
______________________
87.9645943
= 28π
200
How do you find the volume of a sphere?
4/3π r3
200
Convert this length.
200 km = ___________ mi
When 200 km is converted to miles = 124.274238 mi
200
The equation 3 x 5 x 4 can be used when finding the volume of a square.
False
This equation is most likely used to find the volume of a rectangular prism.
300
When finding the area of a composite figure like the one below, what is the first step you need to do?
The first step to finding the area of a composite figure is to break it up into separate shapes. This will allow you to easily see and calculate the shapes separately, which you can then add altogether at the end for the final area.
300
Name this figure:
Trapezoidal prism
300
Convert this area.
14 m² = ____________ cm²
When 14 m² is converted to cm = 140000 cm²
300
In a right-angled triangle, the hypotenuse is always shorter than both of the other two sides.
False
The hypotenuse is always the longest side of a triangle, following the opposite and the adjacent.
400
Nazir is installing interlocking brick between the two triangular gardens in the back of his backyard. Determine the area to be covered with interlocking brick.
A1 = lxw
= 24m x 4m
= 96m2
A2 = bxh / 2
=24 (11) / 2
= 132m2
AT = A1 + A2
= 96 + 132
= 228m2
400
What is the surface area of a cuboid with length, width and height equal to 4.4 cm, 2.3 cm and 5 cm, respectively?
= 2(wl+hl+hw)
= 2·(2.3 x 4.4 + 5 x 4.4 + 5 x 2.3)
= 87.24 square cm.
400
Find the depth of the cylindrical tank if its capacity is 1848 m3 and the diameter of the base is 14 m.
Diameter of the base = 14 m
Radius of the circular base = r = 14/2 = 7 m
Volume of the cylindrical tank = πr2h
πr2h = 1848 m3
(22/7) × 7 × 7 × h = 1848
h = 1848/(22 × 7)
= 12
400
Convert this area.
210 yd² = __________ m²
When 210 yd² is converted to m² = 176.75 m²
Work:(1m) = (1.09)yd²
1m² = 1.1881 yd²
210 yd² x 1m² / 1.1881 yd²
400
The sum of exterior angles of a polygon always add up to 180 degrees.
False.
The sum of exterior angles of a polygon always add up to 360 degrees.
500
When a soccer ball is kicked into the air from one end of a field to the other it follows the path of this geometric arc...
A parabola
500
What is the formula to find the SA of a cone?
π r(r+l)
500
What is the ratio of the volume of a cone, a sphere and a cylinder if each has the same radius and height?
Volume of cone = (1/3)πr2h = (1/3)πr3
Volume of sphere = (4/3)πr3
Volume of cylinder = πr2h = πr3
Volume of cone * Volume of sphere * Volume of cylinder
= (1/3) πr2h : (4/3) πr3 : πr2h
= (1/3) πr3 : (4/3) πr3 : πr3
= (1/3) : (4/3) : 1
The ratio = 1 : 4 : 3
500
Convert this area.
82.3 cm² = ____________ in²
The conversion of 82.3 cm² to in² = 12.76 in²
Work: 1cm = 0.393701 in
1cm² = 0.155 in²
82.3 cm² x 0.155 in² / 1cm²
500
A parallelogram is a quadrilateral with two sets of parallel sides.
True