Space Figures and Cross Sections
SA & Volume of Prisms & Cylinders
SA & Volume Pyramids & Cones
SA & Volume of Spheres
Area & Volumes of Similar Solids
100
What is Euler's Formula for figures and nets?
Figures: F+V=E+2
Nets: F+V=E+1
100
What is the surface area of this figure?
144 cm^2
100
What is the volume of a square pyramid with 2 cm sides and a height of 3 cm?
4 cm^3
100
The radius of a sphere is 2 cm, what is its surface area? Leave in terms of pi
16pi
100
What is the scale factor?
6:5
200
What is the cross section of this figure?
A circle
200
What is the volume of a cylinder with a radius of 4 in and height of 12 in? Leave answer in pi terms
192pi in^2
200
Find the surface area of a cone with a radius of 7.5 cm and a slant height of 44 cm
386.25pi cm^2
200
A sphere has a radius of 7 ft. Find the volume. Use 3.14 for pi
1436.03 ft^3
200
If the scale factor of 2 similar solids is a:b, then?
the ratio of their corresponding areas is a^2:b^2
the ratio of their volumes is a^3:b^3
300
What is the number of vertices of an octagonal pyramid with 9 faces and 16 edges?
9 vertices
300
What would the surface area be if you double these measurements? Leave the answer in pi terms
288pi in^2
300
What is the volume of a rectangular pyramid with a base of 120 cm^2 and a height of 20 cm
800 cm^3
300
A cantaloupe has a diameter of 12 in. If it is cut into quarters, how big will each slice be? Round to the nearest tenth
226.2 in^3
300
Cone X has a radius of 5 yd and a slant height of 13 yd. Cone Y has a radius of 7 yd. Find the missing slant height
l= 18.2 yd
400
Draw a square pyramid net and determine how many faces, vertices, and edges it has
Faces=5; Vertices=8; Edges=12
400
What is the volume of this figure?
102 cm^3
400
If the volume of a cone is 48pi in,the radius is 4 in and the height is 4.5x in, what is the value of x and the height?
x=2
height=9
400
What is the surface area of a sphere that has a radius of 6/2+3(9-7)^3 mm. Leave in pi terms
2916pi units^2
400
The surface area of the smaller figure is given. Find the surface area of the larger figure.
V= 27 in^3
V=125 in^3
S.A.= 63 in^2
175 in^2
500
How many faces, vertices, and edges in a hexagonal prism?
Solid: Faces=8; Vertices=12; Edges=18
or
Net: Faces=8; Vertices=22; Edges=29
500
A soda can has a diameter of 14 cm and a height of 14 cm. If it is 3/4 full with soda, how much air is in the can? Leave answer in pi terms
171.5pi cm^3
500
A student is making a scale model of an Egyptian pyramid. Every 1 inch of his model equals to 500 ft on the real pyramid. Find the lateral area of the real pyramid if the model has 8 in. sides and a slant height of 30 in.
120000000 ft^2
500
The surface area of a soccer ball is 314 cm^2. Find the total volume of 3 soccer balls. Round to the nearest whole number at the end
1571 cm^3
500
Square pyramids A and B are similar. In pyramid A, each base edge is 12 cm. In pyramid B, each base edge is 3 cm and the volume is 6 cm^3. Find pyramid A's volume and the ratio of their surface areas.
V=384 cm^3
Ratio-16:1