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Area
Volume
Similarity
100
What is the difference between lateral area and total area?
Total Area: Area of lateral faces +Area of base(s) Lateral Area: Area around, not including the bases
100
Convert 900ml to cubic decimetres.
0.9dm^3
100
Regular pentagons A and B are similar. Given the information provided in the diagram, what is the ratio of their areas?
k=2 or 1/2
200
Calculate the total area of the following solid.
188.31cm^2
200
A cube is cut by a plane which is parallel to one of its faces. The area of each of the faces produced by this cut is 25 cm2. What is the volume of the original cube?
V=125cm^3
200
An object and its shadow are shown below. Find the missing values x and y, knowing that these objects are similar.
x=1.14m and y=45.6m
300
A right regular pyramid has a regular hexagon for a base. Each side of the base measures 81cm and the base’s apothem measures 70cm. What is the pyramid’s slant height if it total area is 29 160cm^2?
s=50cm
300
What expressions can be used to calculate the volume of the given pyramid with square base?
V=(a^2c)/3
300
Find the ratio of volume between these two similar cylinders
125/64
400
Determine the total area of a pencil holder in the shape of a cube with a cone carved out of it as illustrated in the figure on the right. Round the answer to the nearest unit.
1004cm^2
400
A water reservoir is in the shape of a cylinder that is capped at either end by a hemisphere. How many litres of water are in the cylinder if it is 2/3 full?
16893.3L
400
In the diagram on the right, triangle ABC is similar to triangle EDC. Given that D is the midpoint of line segment AC, determine the measure of line segment ED to the nearest hundredth of a metre. 

mED=11.25m
500
Students in a woodworking class made birdhouses. Karen is painting the outside of her birdhouse red. She needs to calculate the surface area of the birdhouse to know how much paint is needed. The birdhouse has a square base. • The shaded hole has a diameter of 6 cm. • The edge of the roof is 18.03 cm. What is the total surface area of her birdhouse?
3371.73cm^2
500
In January 1998, an ice storm damaged the electric transport system in several regions of Quebec. Many of the electric cables were coated with ice 7 cm thick, as shown in the diagram on the right. Several of these cables were not able to support this enormous weight of ice. What was the weight of the ice that had accumulated along an electric cable 8 cm in diameter and 10 m in length? Note: 1 cm^3 of ice weighs 0.98 g.
323 269.89g
500

Safira is a sculptor and her favorite material to sculpt with is clay. She makes two similar cones as illustrated in the diagram on the right. If she used 27 packs of clay for the smaller cone and 64 packs for the larger one, what is the volume of each package of clay?

3200cm^3